2153814624 has 240 divisors, whose sum is σ = 6992425440. Its totient is φ = 646133760.

The previous prime is 2153814617. The next prime is 2153814697. The reversal of 2153814624 is 4264183512.

It is a happy number.

2153814624 is a `hidden beast` number, since 2 + 15 + 3 + 8 + 14 + 624 = 666.

It is a super-2 number, since 2×2153814624² = 9277834869112522752, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1380757 + ... + 1382315.

It is an arithmetic number, because the mean of its divisors is an integer number (29135106).

Almost surely, 2^2153814624 is an apocalyptic number.

2153814624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2153814624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3496212720).

2153814624 is an abundant number, since it is smaller than the sum of its proper divisors (4838610816).

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

2153814624 is a wasteful number, since it uses less digits than its factorization.

2153814624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 1618 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 2153814624 is about 46409.2083966103. The cubic root of 2153814624 is about 1291.4257465191.

The spelling of 2153814624 in words is "two billion, one hundred fifty-three million, eight hundred fourteen thousand, six hundred twenty-four".