2978038996752 has 80 divisors (see below), whose sum is σ = 7970970718080. Its totient is φ = 956953804800.

The previous prime is 2978038996727. The next prime is 2978038996753. The reversal of 2978038996752 is 2576998308792.

2978038996752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2978038996753) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 776524 + ... + 2561067.

It is an arithmetic number, because the mean of its divisors is an integer number (99637133976).

Almost surely, 2^{2978038996752} is an apocalyptic number.

It is an amenable number.

2978038996752 is an abundant number, since it is smaller than the sum of its proper divisors (4992931721328).

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

2978038996752 is a wasteful number, since it uses less digits than its factorization.

2978038996752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3338272 (or 3338266 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 75.

It can be divided in two parts, 2978038 and 996752, that added together give a triangular number (3974790 = T₂₈₁₉).

The spelling of 2978038996752 in words is "two trillion, nine hundred seventy-eight billion, thirty-eight million, nine hundred ninety-six thousand, seven hundred fifty-two".