2653247232 has 288 divisors, whose sum is σ = 8202163200. Its totient is φ = 845365248.

The previous prime is 2653247231. The next prime is 2653247249. The reversal of 2653247232 is 2327423562.

2653247232 is a `hidden beast` number, since 26 + 532 + 4 + 72 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (120960) is a multiple of the sum of its prime divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2653247231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23480008 + ... + 23480120.

Almost surely, 2^2653247232 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 2653247232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4101081600).

2653247232 is an abundant number, since it is smaller than the sum of its proper divisors (5548915968).

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

2653247232 is a wasteful number, since it uses less digits than its factorization.

2653247232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 240 counting only the distinct ones).

The product of its digits is 120960, while the sum is 36.

The square root of 2653247232 is about 51509.6809541663. The cubic root of 2653247232 is about 1384.3925067583.

The spelling of 2653247232 in words is "two billion, six hundred fifty-three million, two hundred forty-seven thousand, two hundred thirty-two".