2590089984 has 216 divisors, whose sum is σ = 8009225952. Its totient is φ = 802897920.

The previous prime is 2590089973. The next prime is 2590089991. The reversal of 2590089984 is 4899800952.

It is a super-2 number, since 2×2590089984² = 13417132250434240512, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2590089984.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1960044 + ... + 1961364.

Almost surely, 2^2590089984 is an apocalyptic number.

2590089984 is a gapful number since it is divisible by the number (24) 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 2590089984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4004612976).

2590089984 is an abundant number, since it is smaller than the sum of its proper divisors (5419135968).

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

2590089984 is a wasteful number, since it uses less digits than its factorization.

2590089984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The square root of 2590089984 is about 50892.9266598021. The cubic root of 2590089984 is about 1373.3195972694.

The spelling of 2590089984 in words is "two billion, five hundred ninety million, eighty-nine thousand, nine hundred eighty-four".