2553604 has 27 divisors (see below), whose sum is σ = 4850293. Its totient is φ = 1176128.

The previous prime is 2553601. The next prime is 2553611. The reversal of 2553604 is 4063552.

The square root of 2553604 is 1598.

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

2553604 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1988100 + 565504 = 1410^2 + 752^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2553601) 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 8 ways as a sum of consecutive naturals, for example, 54309 + ... + 54355.

2^2553604 is an apocalyptic number.

2553604 is the 1598-th square number.

It is an amenable number.

2553604 is a deficient number, since it is larger than the sum of its proper divisors (2296689).

2553604 is a wasteful number, since it uses less digits than its factorization.

2553604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The cubic root of 2553604 is about 136.6840535748.

Multiplying 2553604 by its sum of digits (25), we get a square (63840100 = 7990²).

Multiplying 2553604 by its product of nonzero digits (3600), we get a square (9192974400 = 95880²).

The spelling of 2553604 in words is "two million, five hundred fifty-three thousand, six hundred four".