2815844120496 has 240 divisors, whose sum is σ = 8688578895360. Its totient is φ = 844198087680.

The previous prime is 2815844120477. The next prime is 2815844120533. The reversal of 2815844120496 is 6940214485182.

2815844120496 is a `hidden beast` number, since 2 + 8 + 1 + 584 + 4 + 12 + 0 + 49 + 6 = 666.

It is a super-2 number, since 2×2815844120496² (a number of 26 digits) contains 22 as substring.

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, 184190965 + ... + 184206251.

It is an arithmetic number, because the mean of its divisors is an integer number (36202412064).

Almost surely, 2^{2815844120496} 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 2815844120496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4344289447680).

2815844120496 is an abundant number, since it is smaller than the sum of its proper divisors (5872734774864).

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

2815844120496 is a wasteful number, since it uses less digits than its factorization.

2815844120496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16544 (or 16535 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 2815844120496 in words is "two trillion, eight hundred fifteen billion, eight hundred forty-four million, one hundred twenty thousand, four hundred ninety-six".