2599920 has 120 divisors (see below), whose sum is σ = 9169056. Its totient is φ = 658944.

The previous prime is 2599907. The next prime is 2599931. The reversal of 2599920 is 299952.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 16482 + ... + 16638.

2^2599920 is an apocalyptic number.

2599920 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 2599920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4584528).

2599920 is an abundant number, since it is smaller than the sum of its proper divisors (6569136).

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

2599920 is a wasteful number, since it uses less digits than its factorization.

2599920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 2599920 is about 1612.4267425220. The cubic root of 2599920 is about 137.5054763659.

Subtracting from 2599920 its reverse (299952), we obtain a cube (2299968 = 132³).

The spelling of 2599920 in words is "two million, five hundred ninety-nine thousand, nine hundred twenty".