2595120 has 80 divisors (see below), whose sum is σ = 8785152. Its totient is φ = 628480.

The previous prime is 2595107. The next prime is 2595139. The reversal of 2595120 is 215952.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2149 + ... + 3131.

2^2595120 is an apocalyptic number.

2595120 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 2595120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4392576).

2595120 is an abundant number, since it is smaller than the sum of its proper divisors (6190032).

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

2595120 is a wasteful number, since it uses less digits than its factorization.

2595120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 2595120 is about 1610.9376151794. The cubic root of 2595120 is about 137.4208028777.

The spelling of 2595120 in words is "two million, five hundred ninety-five thousand, one hundred twenty".