2591680 has 112 divisors (see below), whose sum is σ = 7680960. Its totient is φ = 811008.

The previous prime is 2591669. The next prime is 2591681. The reversal of 2591680 is 861952.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2591681) 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, 29076 + ... + 29164.

It is an arithmetic number, because the mean of its divisors is an integer number (68580).

2^2591680 is an apocalyptic number.

2591680 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 2591680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3840480).

2591680 is an abundant number, since it is smaller than the sum of its proper divisors (5089280).

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

2591680 is a wasteful number, since it uses less digits than its factorization.

2591680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 2591680 is about 1609.8695599334. The cubic root of 2591680 is about 137.3600559639.

The spelling of 2591680 in words is "two million, five hundred ninety-one thousand, six hundred eighty".