2812652806320 has 600 divisors, whose sum is σ = 11507605876800. Its totient is φ = 634748534784.

The previous prime is 2812652806283. The next prime is 2812652806321. The reversal of 2812652806320 is 236082562182.

2812652806320 is a `hidden beast` number, since 2 + 8 + 1 + 2 + 6 + 5 + 2 + 8 + 0 + 632 + 0 = 666.

It is a super-2 number, since 2×2812652806320² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2812652806321) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 25028016 + ... + 25140144.

It is an arithmetic number, because the mean of its divisors is an integer number (19179343128).

Almost surely, 2^{2812652806320} is an apocalyptic number.

2812652806320 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 2812652806320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5753802938400).

2812652806320 is an abundant number, since it is smaller than the sum of its proper divisors (8694953070480).

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

2812652806320 is a wasteful number, since it uses less digits than its factorization.

2812652806320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112247 (or 112225 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 2812652806320 in words is "two trillion, eight hundred twelve billion, six hundred fifty-two million, eight hundred six thousand, three hundred twenty".