2152624515520 has 224 divisors, whose sum is σ = 5586515827200. Its totient is φ = 787764916224.

The previous prime is 2152624515499. The next prime is 2152624515521. The reversal of 2152624515520 is 255154262512.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2152624515521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15999891 + ... + 16133869.

It is an arithmetic number, because the mean of its divisors is an integer number (24939802800).

Almost surely, 2^{2152624515520} is an apocalyptic number.

2152624515520 is a gapful number since it is divisible by the number (20) 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 2152624515520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2793257913600).

2152624515520 is an abundant number, since it is smaller than the sum of its proper divisors (3433891311680).

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

2152624515520 is a wasteful number, since it uses less digits than its factorization.

2152624515520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134115 (or 134105 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 40.

The spelling of 2152624515520 in words is "two trillion, one hundred fifty-two billion, six hundred twenty-four million, five hundred fifteen thousand, five hundred twenty".