2653632 has 84 divisors (see below), whose sum is σ = 8083296. Its totient is φ = 829440.

The previous prime is 2653621. The next prime is 2653633. The reversal of 2653632 is 2363562.

2653632 is a `hidden beast` number, since 2 + 653 + 6 + 3 + 2 = 666.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 2653596 and 2653605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2653633) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9657 + ... + 9927.

2^2653632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2653632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4041648).

2653632 is an abundant number, since it is smaller than the sum of its proper divisors (5429664).

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

2653632 is a wasteful number, since it uses less digits than its factorization.

2653632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 293 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 2653632 is about 1628.9972375667. The cubic root of 2653632 is about 138.4459424029.

The spelling of 2653632 in words is "two million, six hundred fifty-three thousand, six hundred thirty-two".