2974116816 has 240 divisors, whose sum is σ = 10121941440. Its totient is φ = 803450880.

The previous prime is 2974116809. The next prime is 2974116829. The reversal of 2974116816 is 6186114792.

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, 508726 + ... + 514538.

It is an arithmetic number, because the mean of its divisors is an integer number (42174756).

Almost surely, 2^2974116816 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 2974116816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5060970720).

2974116816 is an abundant number, since it is smaller than the sum of its proper divisors (7147824624).

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

2974116816 is a wasteful number, since it uses less digits than its factorization.

2974116816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5874 (or 5865 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 2974116816 is about 54535.4638377634. The cubic root of 2974116816 is about 1438.0898051637.

The spelling of 2974116816 in words is "two billion, nine hundred seventy-four million, one hundred sixteen thousand, eight hundred sixteen".