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2642697240 = 233523957499
BaseRepresentation
bin1001110110000100…
…0101110000011000
320211011200221002120
42131201011300120
520403012302430
61114122101240
7122326361451
oct23541056030
96734627076
102642697240
111136808607
1261904a820
133316723a1
141b0d98128
15107016610
hex9d845c18

2642697240 has 64 divisors (see below), whose sum is σ = 8272800000. Its totient is φ = 674078592.

The previous prime is 2642697229. The next prime is 2642697241. The reversal of 2642697240 is 427962462.

It is a junction number, because it is equal to n+sod(n) for n = 2642697192 and 2642697201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2642697241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 475990 + ... + 481509.

It is an arithmetic number, because the mean of its divisors is an integer number (129262500).

Almost surely, 22642697240 is an apocalyptic number.

2642697240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2642697240 is an abundant number, since it is smaller than the sum of its proper divisors (5630102760).

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

2642697240 is a wasteful number, since it uses less digits than its factorization.

2642697240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957536 (or 957532 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 2642697240 is about 51407.1710950914. The cubic root of 2642697240 is about 1382.5551693815. Note that the first 3 decimals are identical.

The spelling of 2642697240 in words is "two billion, six hundred forty-two million, six hundred ninety-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 957499 1914998 2872497 3829996 4787495 5744994 7659992 9574990 11489988 14362485 19149980 22022477 22979976 28724970 38299960 44044954 57449940 66067431 88089908 110112385 114899880 132134862 176179816 220224770 264269724 330337155 440449540 528539448 660674310 880899080 1321348620 2642697240