2980071952074 has 320 divisors, whose sum is σ = 8135905130496. Its totient is φ = 795881189376.

The previous prime is 2980071952061. The next prime is 2980071952103. The reversal of 2980071952074 is 4702591700892.

2980071952074 is a `hidden beast` number, since 29 + 80 + 0 + 7 + 19 + 520 + 7 + 4 = 666.

2980071952074 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 2980071952074.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2726506272 + ... + 2726507364.

Almost surely, 2^{2980071952074} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2980071952074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4067952565248).

2980071952074 is an abundant number, since it is smaller than the sum of its proper divisors (5155833178422).

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

2980071952074 is a wasteful number, since it uses less digits than its factorization.

2980071952074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 2980071952074 in words is "two trillion, nine hundred eighty billion, seventy-one million, nine hundred fifty-two thousand, seventy-four".