2597227952 has 40 divisors (see below), whose sum is σ = 5778528960. Its totient is φ = 1118422080.

The previous prime is 2597227951. The next prime is 2597227973.

It is a happy number.

2597227952 is nontrivially palindromic in base 10.

2597227952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2597227952² = 13491186069300228608, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2597227952.

It is not an unprimeable number, because it can be changed into a prime (2597227951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 384998 + ... + 391685.

It is an arithmetic number, because the mean of its divisors is an integer number (144463224).

Almost surely, 2^2597227952 is an apocalyptic number.

2597227952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2597227952 is an abundant number, since it is smaller than the sum of its proper divisors (3181301008).

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

2597227952 is a wasteful number, since it uses less digits than its factorization.

2597227952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776721 (or 776715 counting only the distinct ones).

The product of its digits is 1587600, while the sum is 50.

The square root of 2597227952 is about 50963.0057198356. The cubic root of 2597227952 is about 1374.5800065140.

The spelling of 2597227952 in words is "two billion, five hundred ninety-seven million, two hundred twenty-seven thousand, nine hundred fifty-two".