2653682832 has 120 divisors (see below), whose sum is σ = 7686119168. Its totient is φ = 853804800.

The previous prime is 2653682827. The next prime is 2653682879. The reversal of 2653682832 is 2382863562.

2653682832 is a `hidden beast` number, since 2 + 6 + 5 + 368 + 283 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3271707 + ... + 3272517.

Almost surely, 2^2653682832 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 2653682832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3843059584).

2653682832 is an abundant number, since it is smaller than the sum of its proper divisors (5032436336).

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

2653682832 is a wasteful number, since it uses less digits than its factorization.

2653682832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1580 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 2653682832 is about 51513.9091120059. The cubic root of 2653682832 is about 1384.4682640380.

The spelling of 2653682832 in words is "two billion, six hundred fifty-three million, six hundred eighty-two thousand, eight hundred thirty-two".