2564597262096 has 135 divisors (see below), whose sum is σ = 7247525268607. Its totient is φ = 846583127040.

The previous prime is 2564597262091. The next prime is 2564597262103. The reversal of 2564597262096 is 6902627954652.

It is a happy number.

The square root of 2564597262096 is 1601436.

It is a perfect power (a square), and thus also a powerful number.

2564597262096 is a `hidden beast` number, since 2 + 5 + 6 + 459 + 72 + 6 + 20 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 64201424400 + 2500395837696 = 253380^2 + 1581264^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2564597262091) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 2171546626 + ... + 2171547806.

Almost surely, 2^{2564597262096} is an apocalyptic number.

2564597262096 is the 1601436-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2564597262096

2564597262096 is an abundant number, since it is smaller than the sum of its proper divisors (4682928006511).

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

2564597262096 is an equidigital number, since it uses as much as digits as its factorization.

2564597262096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2602 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 2564597262096 in words is "two trillion, five hundred sixty-four billion, five hundred ninety-seven million, two hundred sixty-two thousand, ninety-six".