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2640331008 = 28327315281
BaseRepresentation
bin1001110101100000…
…0100000100000000
320211000020201020100
42131120010010000
520401411043013
61113555242400
7122300305020
oct23530040400
96730221210
102640331008
111135441847
126182a9400
13331024353
141b093da80
15106bea473
hex9d604100

2640331008 has 216 divisors, whose sum is σ = 8982611456. Its totient is φ = 729907200.

The previous prime is 2640331003. The next prime is 2640331027. The reversal of 2640331008 is 8001330462.

It is a happy number.

2640331008 is a `hidden beast` number, since 2 + 640 + 3 + 3 + 10 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (2640331003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 497328 + ... + 502608.

Almost surely, 22640331008 is an apocalyptic number.

2640331008 is a gapful number since it is divisible by the number (28) 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 2640331008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4491305728).

2640331008 is an abundant number, since it is smaller than the sum of its proper divisors (6342280448).

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

2640331008 is a wasteful number, since it uses less digits than its factorization.

2640331008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5341 (or 5324 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2640331008 is about 51384.1513309308. The cubic root of 2640331008 is about 1382.1424063502.

The spelling of 2640331008 in words is "two billion, six hundred forty million, three hundred thirty-one thousand, eight".