2153656512 has 336 divisors, whose sum is σ = 7443817472. Its totient is φ = 604661760.

The previous prime is 2153656507. The next prime is 2153656559. The reversal of 2153656512 is 2156563512.

2153656512 is a `hidden beast` number, since 21 + 536 + 56 + 51 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×2153656512² = 9276472743360012288, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7946937 + ... + 7947207.

Almost surely, 2^2153656512 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 2153656512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3721908736).

2153656512 is an abundant number, since it is smaller than the sum of its proper divisors (5290160960).

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

2153656512 is an equidigital number, since it uses as much as digits as its factorization.

2153656512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 356 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 2153656512 is about 46407.5049103052. The cubic root of 2153656512 is about 1291.3941444641.

The spelling of 2153656512 in words is "two billion, one hundred fifty-three million, six hundred fifty-six thousand, five hundred twelve".