2590000952 has 64 divisors (see below), whose sum is σ = 6153891840. Its totient is φ = 992534400.

The previous prime is 2590000921. The next prime is 2590000957.

2590000952 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2590000957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3113 + ... + 72039.

It is an arithmetic number, because the mean of its divisors is an integer number (96154560).

Almost surely, 2^2590000952 is an apocalyptic number.

2590000952 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 2590000952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3076945920).

2590000952 is an abundant number, since it is smaller than the sum of its proper divisors (3563890888).

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

2590000952 is a wasteful number, since it uses less digits than its factorization.

2590000952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69012 (or 69008 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 32.

The square root of 2590000952 is about 50892.0519531292. The cubic root of 2590000952 is about 1373.3038615495.

It can be divided in two parts, 2590000 and 952, that added together give a palindrome (2590952).

The spelling of 2590000952 in words is "two billion, five hundred ninety million, nine hundred fifty-two", and thus it is an aban number.