2563680 has 144 divisors (see below), whose sum is σ = 9480240. Its totient is φ = 580608.

The previous prime is 2563679. The next prime is 2563711. The reversal of 2563680 is 863652.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23466 + ... + 23574.

It is an arithmetic number, because the mean of its divisors is an integer number (65835).

2^2563680 is an apocalyptic number.

2563680 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 2563680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4740120).

2563680 is an abundant number, since it is smaller than the sum of its proper divisors (6916560).

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

2563680 is a wasteful number, since it uses less digits than its factorization.

2563680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 2563680 is about 1601.1495870155. The cubic root of 2563680 is about 136.8635934282.

The spelling of 2563680 in words is "two million, five hundred sixty-three thousand, six hundred eighty".