2597271264 has 288 divisors, whose sum is σ = 9101030400. Its totient is φ = 717776640.

The previous prime is 2597271227. The next prime is 2597271283. The reversal of 2597271264 is 4621727952.

2597271264 is a `hidden beast` number, since 259 + 72 + 71 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1311427 + ... + 1313405.

It is an arithmetic number, because the mean of its divisors is an integer number (31600800).

Almost surely, 2^2597271264 is an apocalyptic number.

2597271264 is a gapful number since it is divisible by the number (24) 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 2597271264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4550515200).

2597271264 is an abundant number, since it is smaller than the sum of its proper divisors (6503759136).

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

2597271264 is a wasteful number, since it uses less digits than its factorization.

2597271264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043 (or 2022 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 2597271264 is about 50963.4306537541. The cubic root of 2597271264 is about 1374.5876474142.

The spelling of 2597271264 in words is "two billion, five hundred ninety-seven million, two hundred seventy-one thousand, two hundred sixty-four".