2590402816 has 27 divisors (see below), whose sum is σ = 5172312873. Its totient is φ = 1294794240.

The previous prime is 2590402813. The next prime is 2590402823. The reversal of 2590402816 is 6182040952.

The square root of 2590402816 is 50896.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 193321216 + 2397081600 = 13904^2 + 48960^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2590402813) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 812746 + ... + 815926.

Almost surely, 2^2590402816 is an apocalyptic number.

2590402816 is the 50896-th square number.

It is an amenable number.

2590402816 is a deficient number, since it is larger than the sum of its proper divisors (2581910057).

2590402816 is an frugal number, since it uses more digits than its factorization.

2590402816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6378 (or 3183 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The cubic root of 2590402816 is about 1373.3748850553.

The spelling of 2590402816 in words is "two billion, five hundred ninety million, four hundred two thousand, eight hundred sixteen".