2537649 has 21 divisors (see below), whose sum is σ = 3870313. Its totient is φ = 1663092.

The previous prime is 2537627. The next prime is 2537653. The reversal of 2537649 is 9467352.

The square root of 2537649 is 1593.

It is a perfect power (a square), and thus also a powerful number.

2537649 is a `hidden beast` number, since 2 + 5 + 3 + 7 + 649 = 666.

2537649 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2537649 - 2¹⁵ = 2504881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2537669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 42982 + ... + 43040.

2^2537649 is an apocalyptic number.

2537649 is the 1593-rd square number.

2537649 is the 797-th centered octagonal number.

It is an amenable number.

2537649 is a deficient number, since it is larger than the sum of its proper divisors (1332664).

2537649 is an frugal number, since it uses more digits than its factorization.

2537649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 62 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The cubic root of 2537649 is about 136.3987898460.

Multiplying 2537649 by its sum of digits (36), we get a square (91355364 = 9558²).

It can be divided in two parts, 25376 and 49, that added together give a triangular number (25425 = T₂₂₅).

The spelling of 2537649 in words is "two million, five hundred thirty-seven thousand, six hundred forty-nine".