2815151032320 has 384 divisors, whose sum is σ = 9890282787840. Its totient is φ = 677928960000.

The previous prime is 2815151032307. The next prime is 2815151032339. The reversal of 2815151032320 is 232301515182.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50998335 + ... + 51053505.

It is an arithmetic number, because the mean of its divisors is an integer number (25755944760).

Almost surely, 2^{2815151032320} is an apocalyptic number.

2815151032320 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 2815151032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4945141393920).

2815151032320 is an abundant number, since it is smaller than the sum of its proper divisors (7075131755520).

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

2815151032320 is a wasteful number, since it uses less digits than its factorization.

2815151032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55363 (or 55343 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 2815151032320 in words is "two trillion, eight hundred fifteen billion, one hundred fifty-one million, thirty-two thousand, three hundred twenty".