2815107226848 has 480 divisors, whose sum is σ = 9728439424704. Its totient is φ = 781706723328.

The previous prime is 2815107226837. The next prime is 2815107226853. The reversal of 2815107226848 is 8486227015182.

2815107226848 is a `hidden beast` number, since 2 + 8 + 1 + 510 + 7 + 22 + 68 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2815107226794 and 2815107226803.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 814319136 + ... + 814322592.

Almost surely, 2^{2815107226848} is an apocalyptic number.

2815107226848 is a gapful number since it is divisible by the number (28) 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 2815107226848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4864219712352).

2815107226848 is an abundant number, since it is smaller than the sum of its proper divisors (6913332197856).

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

2815107226848 is a wasteful number, since it uses less digits than its factorization.

2815107226848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4736 (or 4719 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 2815107226848 in words is "two trillion, eight hundred fifteen billion, one hundred seven million, two hundred twenty-six thousand, eight hundred forty-eight".