2590838400 has 96 divisors (see below), whose sum is σ = 8533605600. Its totient is φ = 690887680.

The previous prime is 2590838399. The next prime is 2590838431. The reversal of 2590838400 is 48380952.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2590838400² = 13424887229829120000, which contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 125340 + ... + 144539.

It is an arithmetic number, because the mean of its divisors is an integer number (88891725).

Almost surely, 2^2590838400 is an apocalyptic number.

2590838400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2590838400 is an abundant number, since it is smaller than the sum of its proper divisors (5942767200).

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

2590838400 is a wasteful number, since it uses less digits than its factorization.

2590838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269906 (or 269889 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 2590838400 is about 50900.2789776245. The cubic root of 2590838400 is about 1373.4518597758.

The spelling of 2590838400 in words is "two billion, five hundred ninety million, eight hundred thirty-eight thousand, four hundred".