2596880 has 80 divisors (see below), whose sum is σ = 7124544. Its totient is φ = 867840.

The previous prime is 2596873. The next prime is 2596883. The reversal of 2596880 is 886952.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2596883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11327 + ... + 11553.

2^2596880 is an apocalyptic number.

2596880 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 2596880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3562272).

2596880 is an abundant number, since it is smaller than the sum of its proper divisors (4527664).

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

2596880 is a wasteful number, since it uses less digits than its factorization.

2596880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 2596880 is about 1611.4837883144. The cubic root of 2596880 is about 137.4518619370.

The spelling of 2596880 in words is "two million, five hundred ninety-six thousand, eight hundred eighty".