2595115952 has 80 divisors (see below), whose sum is σ = 5924016672. Its totient is φ = 1085736960.

The previous prime is 2595115937. The next prime is 2595116053.

2595115952 is nontrivially palindromic in base 10.

2595115952 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-3 number, since 3×2595115952³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 906908 + ... + 909764.

Almost surely, 2^2595115952 is an apocalyptic number.

2595115952 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 2595115952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2962008336).

2595115952 is an abundant number, since it is smaller than the sum of its proper divisors (3328900720).

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

2595115952 is a wasteful number, since it uses less digits than its factorization.

2595115952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3286 (or 3280 counting only the distinct ones).

The product of its digits is 202500, while the sum is 44.

The square root of 2595115952 is about 50942.2805928435. The cubic root of 2595115952 is about 1374.2073142570.

The spelling of 2595115952 in words is "two billion, five hundred ninety-five million, one hundred fifteen thousand, nine hundred fifty-two".