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2662481340 = 2234512712941
BaseRepresentation
bin1001111010110010…
…0011110110111100
320212112221001210000
42132230203312330
520423043400330
61120110114300
7122656501161
oct23654436674
96775831700
102662481340
1111469a0702
126237ab990
133357ab45c
141b3868068
15108b23560
hex9eb23dbc

2662481340 has 120 divisors (see below), whose sum is σ = 8418719232. Its totient is φ = 704350080.

The previous prime is 2662481303. The next prime is 2662481351. The reversal of 2662481340 is 431842662.

2662481340 is a `hidden beast` number, since 26 + 624 + 8 + 1 + 3 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2662481295 and 2662481304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 199270 + ... + 212210.

Almost surely, 22662481340 is an apocalyptic number.

2662481340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2662481340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4209359616).

2662481340 is an abundant number, since it is smaller than the sum of its proper divisors (5756237892).

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

2662481340 is a wasteful number, since it uses less digits than its factorization.

2662481340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13089 (or 13078 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2662481340 is about 51599.2377850681. The cubic root of 2662481340 is about 1385.9966829628.

The spelling of 2662481340 in words is "two billion, six hundred sixty-two million, four hundred eighty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 127 135 162 180 254 270 324 381 405 508 540 635 762 810 1143 1270 1524 1620 1905 2286 2540 3429 3810 4572 5715 6858 7620 10287 11430 12941 13716 17145 20574 22860 25882 34290 38823 41148 51435 51764 64705 68580 77646 102870 116469 129410 155292 194115 205740 232938 258820 349407 388230 465876 582345 698814 776460 1048221 1164690 1397628 1643507 1747035 2096442 2329380 3287014 3494070 4192884 4930521 5241105 6574028 6988140 8217535 9861042 10482210 14791563 16435070 19722084 20964420 24652605 29583126 32870140 44374689 49305210 59166252 73957815 88749378 98610420 133124067 147915630 177498756 221873445 266248134 295831260 443746890 532496268 665620335 887493780 1331240670 2662481340