2790467168112 has 960 divisors, whose sum is σ = 9537578305920. Its totient is φ = 787224821760.

The previous prime is 2790467168003. The next prime is 2790467168149. The reversal of 2790467168112 is 2118617640972.

2790467168112 is a `hidden beast` number, since 2 + 7 + 9 + 0 + 467 + 1 + 68 + 112 = 666.

It is a super-2 number, since 2×2790467168112² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4121812318 + ... + 4121812994.

It is an arithmetic number, because the mean of its divisors is an integer number (9934977402).

Almost surely, 2^{2790467168112} 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 2790467168112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4768789152960).

2790467168112 is an abundant number, since it is smaller than the sum of its proper divisors (6747111137808).

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

2790467168112 is a wasteful number, since it uses less digits than its factorization.

2790467168112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 2790467168112 in words is "two trillion, seven hundred ninety billion, four hundred sixty-seven million, one hundred sixty-eight thousand, one hundred twelve".