2913072122880 has 1056 divisors, whose sum is σ = 10743656901120. Its totient is φ = 728739348480.

The previous prime is 2913072122861. The next prime is 2913072122921. The reversal of 2913072122880 is 882212703192.

2913072122880 is a `hidden beast` number, since 29 + 1 + 307 + 21 + 228 + 80 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8252328784 + ... + 8252329136.

It is an arithmetic number, because the mean of its divisors is an integer number (10173917520).

Almost surely, 2^{2913072122880} is an apocalyptic number.

2913072122880 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 2913072122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5371828450560).

2913072122880 is an abundant number, since it is smaller than the sum of its proper divisors (7830584778240).

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

2913072122880 is a wasteful number, since it uses less digits than its factorization.

2913072122880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 2913072122880 in words is "two trillion, nine hundred thirteen billion, seventy-two million, one hundred twenty-two thousand, eight hundred eighty".