2790016996032 has 1008 divisors, whose sum is σ = 10110398575200. Its totient is φ = 761497583616.

The previous prime is 2790016996027. The next prime is 2790016996061. The reversal of 2790016996032 is 2306996100972.

2790016996032 is a `hidden beast` number, since 27 + 9 + 0 + 0 + 1 + 6 + 9 + 9 + 603 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2790016996032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3628110144 + ... + 3628110912.

Almost surely, 2^{2790016996032} 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 2790016996032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5055199287600).

2790016996032 is an abundant number, since it is smaller than the sum of its proper divisors (7320381579168).

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

2790016996032 is an frugal number, since it uses more digits than its factorization.

2790016996032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 2790016996032 in words is "two trillion, seven hundred ninety billion, sixteen million, nine hundred ninety-six thousand, thirty-two".