2653641 has 15 divisors (see below), whose sum is σ = 3986103. Its totient is φ = 1759320.

The previous prime is 2653633. The next prime is 2653681. The reversal of 2653641 is 1463562.

The square root of 2653641 is 1629.

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

2653641 is a `hidden beast` number, since 2 + 653 + 6 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29241 + 2624400 = 171^2 + 1620^2 .

It is not a de Polignac number, because 2653641 - 2³ = 2653633 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2653601) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 14571 + ... + 14751.

2^2653641 is an apocalyptic number.

2653641 is the 1629-th square number.

2653641 is the 815-th centered octagonal number.

It is an amenable number.

2653641 is a deficient number, since it is larger than the sum of its proper divisors (1332462).

2653641 is an frugal number, since it uses more digits than its factorization.

2653641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 184 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The cubic root of 2653641 is about 138.4460989195.

The spelling of 2653641 in words is "two million, six hundred fifty-three thousand, six hundred forty-one".