2590648920 has 160 divisors (see below), whose sum is σ = 8988693120. Its totient is φ = 668528640.

The previous prime is 2590648901. The next prime is 2590648933. The reversal of 2590648920 is 298460952.

It is a super-2 number, since 2×2590648920² = 13422923653394332800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 87544 + ... + 113336.

It is an arithmetic number, because the mean of its divisors is an integer number (56179332).

Almost surely, 2^2590648920 is an apocalyptic number.

2590648920 is a gapful number since it is divisible by the number (20) 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 2590648920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4494346560).

2590648920 is an abundant number, since it is smaller than the sum of its proper divisors (6398044200).

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

2590648920 is a wasteful number, since it uses less digits than its factorization.

2590648920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25847 (or 25834 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 2590648920 is about 50898.4176571335. The cubic root of 2590648920 is about 1373.4183766630.

The spelling of 2590648920 in words is "two billion, five hundred ninety million, six hundred forty-eight thousand, nine hundred twenty".