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2468060442 = 2341719101467
BaseRepresentation
bin1001001100011011…
…1001110100011010
320101000002110110000
42103012321310122
520023310413232
61044523033430
7115106111331
oct22306716432
96330073400
102468060442
111057179381
1258a66b876
133044286c3
14195ad8d18
15e6a1c27c
hex931b9d1a

2468060442 has 160 divisors (see below), whose sum is σ = 6238140480. Its totient is φ = 724723200.

The previous prime is 2468060437. The next prime is 2468060453. The reversal of 2468060442 is 2440608642.

It is a happy number.

2468060442 is a `hidden beast` number, since 2 + 4 + 6 + 8 + 0 + 604 + 42 = 666.

2468060442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2468060397 and 2468060406.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5284693 + ... + 5285159.

It is an arithmetic number, because the mean of its divisors is an integer number (38988378).

Almost surely, 22468060442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2468060442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3119070240).

2468060442 is an abundant number, since it is smaller than the sum of its proper divisors (3770080038).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2468060442 is a wasteful number, since it uses less digits than its factorization.

2468060442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 2468060442 is about 49679.5777155966. The cubic root of 2468060442 is about 1351.4041981806.

The spelling of 2468060442 in words is "two billion, four hundred sixty-eight million, sixty thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 17 18 19 27 34 38 51 54 57 81 101 102 114 153 162 171 202 303 306 323 342 459 467 513 606 646 909 918 934 969 1026 1377 1401 1539 1717 1818 1919 1938 2727 2754 2802 2907 3078 3434 3838 4203 5151 5454 5757 5814 7939 8181 8406 8721 8873 10302 11514 12609 15453 15878 16362 17271 17442 17746 23817 25218 26163 26619 30906 32623 34542 37827 46359 47167 47634 51813 52326 53238 65246 71451 75654 79857 92718 94334 97869 103626 139077 141501 142902 150841 155439 159714 195738 214353 239571 278154 283002 293607 301682 310878 424503 428706 452523 479142 587214 643059 718713 801839 849006 880821 896173 905046 1273509 1286118 1357569 1437426 1603678 1761642 1792346 2405517 2547018 2642463 2688519 2715138 3820527 4072707 4811034 5284926 5377038 7216551 7641054 8065557 8145414 12218121 14433102 15234941 16131114 21649653 24196671 24436242 30469882 43299306 45704823 48393342 64948959 72590013 91409646 129897918 137114469 145180026 274228938 411343407 822686814 1234030221 2468060442