2537680 has 20 divisors (see below), whose sum is σ = 5900292. Its totient is φ = 1015040.

The previous prime is 2537677. The next prime is 2537681. The reversal of 2537680 is 867352.

It can be written as a sum of positive squares in 2 ways, for example, as 394384 + 2143296 = 628^2 + 1464^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2537681) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15781 + ... + 15940.

2^2537680 is an apocalyptic number.

2537680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2537680 is an abundant number, since it is smaller than the sum of its proper divisors (3362612).

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

2537680 is a wasteful number, since it uses less digits than its factorization.

2537680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31734 (or 31728 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 2537680 is about 1593.0097300393. The cubic root of 2537680 is about 136.3993452611.

Subtracting from 2537680 its sum of digits (31), we obtain a square (2537649 = 1593²).

The spelling of 2537680 in words is "two million, five hundred thirty-seven thousand, six hundred eighty".