2790214972416 has 528 divisors, whose sum is σ = 8349102469968. Its totient is φ = 897122304000.

The previous prime is 2790214972351. The next prime is 2790214972451. The reversal of 2790214972416 is 6142794120972.

2790214972416 is a `hidden beast` number, since 2 + 7 + 9 + 0 + 214 + 9 + 7 + 2 + 416 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 568636646400 + 2221578326016 = 754080^2 + 1490496^2 .

It is a congruent number.

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, 8914424676 + ... + 8914424988.

Almost surely, 2^{2790214972416} 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 2790214972416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4174551234984).

2790214972416 is an abundant number, since it is smaller than the sum of its proper divisors (5558887497552).

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

2790214972416 is a wasteful number, since it uses less digits than its factorization.

2790214972416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 2790214972416 in words is "two trillion, seven hundred ninety billion, two hundred fourteen million, nine hundred seventy-two thousand, four hundred sixteen".