2153512046624 has 96 divisors (see below), whose sum is σ = 4594704912000. Its totient is φ = 990201231360.

The previous prime is 2153512046617. The next prime is 2153512046671. The reversal of 2153512046624 is 4266402153512.

It is a super-2 number, since 2×2153512046624² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

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 15 ways as a sum of consecutive naturals, for example, 4743614 + ... + 5177730.

It is an arithmetic number, because the mean of its divisors is an integer number (47861509500).

Almost surely, 2^{2153512046624} 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 2153512046624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2297352456000).

2153512046624 is an abundant number, since it is smaller than the sum of its proper divisors (2441192865376).

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

2153512046624 is a wasteful number, since it uses less digits than its factorization.

2153512046624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434386 (or 434378 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 41.

The spelling of 2153512046624 in words is "two trillion, one hundred fifty-three billion, five hundred twelve million, forty-six thousand, six hundred twenty-four".