2353255632 has 320 divisors, whose sum is σ = 8586117120. Its totient is φ = 600307200.

The previous prime is 2353255627. The next prime is 2353255633. The reversal of 2353255632 is 2365523532.

2353255632 is a `hidden beast` number, since 23 + 53 + 2 + 556 + 32 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2353255633) 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 63 ways as a sum of consecutive naturals, for example, 1217707 + ... + 1219637.

It is an arithmetic number, because the mean of its divisors is an integer number (26831616).

Almost surely, 2^2353255632 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 2353255632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4293058560).

2353255632 is an abundant number, since it is smaller than the sum of its proper divisors (6232861488).

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

2353255632 is a wasteful number, since it uses less digits than its factorization.

2353255632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1999 (or 1987 counting only the distinct ones).

The product of its digits is 162000, while the sum is 36.

The square root of 2353255632 is about 48510.3662323838. The cubic root of 2353255632 is about 1330.1165654332.

The spelling of 2353255632 in words is "two billion, three hundred fifty-three million, two hundred fifty-five thousand, six hundred thirty-two".