2593680 has 80 divisors (see below), whose sum is σ = 8195904. Its totient is φ = 678400.

The previous prime is 2593651. The next prime is 2593681. The reversal of 2593680 is 863952.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (2593681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24187 + ... + 24293.

2^2593680 is an apocalyptic number.

2593680 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 2593680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4097952).

2593680 is an abundant number, since it is smaller than the sum of its proper divisors (5602224).

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

2593680 is a wasteful number, since it uses less digits than its factorization.

2593680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 2593680 is about 1610.4906084793. The cubic root of 2593680 is about 137.3953804735.

The spelling of 2593680 in words is "two million, five hundred ninety-three thousand, six hundred eighty".