2590629072 has 20 divisors (see below), whose sum is σ = 6692458560. Its totient is φ = 863543008.

The previous prime is 2590629071. The next prime is 2590629077. The reversal of 2590629072 is 2709260952.

2590629072 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 2×2590629072² = 13422717977383162368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2590629071) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26985672 + ... + 26985767.

It is an arithmetic number, because the mean of its divisors is an integer number (334622928).

Almost surely, 2^2590629072 is an apocalyptic number.

It is an amenable number.

2590629072 is an abundant number, since it is smaller than the sum of its proper divisors (4101829488).

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

2590629072 is a wasteful number, since it uses less digits than its factorization.

2590629072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53971450 (or 53971444 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 2590629072 is about 50898.2226801683. Note that the first 3 decimals coincide. The cubic root of 2590629072 is about 1373.4148692178.

The spelling of 2590629072 in words is "two billion, five hundred ninety million, six hundred twenty-nine thousand, seventy-two".