2601647972352 has 504 divisors, whose sum is σ = 8896581789732. Its totient is φ = 727701258240.

The previous prime is 2601647972311. The next prime is 2601647972377. The reversal of 2601647972352 is 2532797461062.

2601647972352 is a `hidden beast` number, since 2 + 60 + 16 + 479 + 72 + 35 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2596790439936 + 4857532416 = 1611456^2 + 69696^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 115962928 + ... + 115985360.

Almost surely, 2^{2601647972352} is an apocalyptic number.

2601647972352 is a gapful number since it is divisible by the number (22) 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 2601647972352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4448290894866).

2601647972352 is an abundant number, since it is smaller than the sum of its proper divisors (6294933817380).

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

2601647972352 is a wasteful number, since it uses less digits than its factorization.

2601647972352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22500 (or 22462 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 2601647972352 in words is "two trillion, six hundred one billion, six hundred forty-seven million, nine hundred seventy-two thousand, three hundred fifty-two".