2974606416 has 400 divisors, whose sum is σ = 9698285520. Its totient is φ = 875888640.

The previous prime is 2974606387. The next prime is 2974606447. The reversal of 2974606416 is 6146064792.

2974606416 is a `hidden beast` number, since 29 + 7 + 4 + 606 + 4 + 16 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 15681600 + 2958924816 = 3960^2 + 54396^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33422500 + ... + 33422588.

Almost surely, 2^2974606416 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 2974606416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4849142760).

2974606416 is an abundant number, since it is smaller than the sum of its proper divisors (6723679104).

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

2974606416 is a wasteful number, since it uses less digits than its factorization.

2974606416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2974606416 is about 54539.9524752268. The cubic root of 2974606416 is about 1438.1687137586.

The spelling of 2974606416 in words is "two billion, nine hundred seventy-four million, six hundred six thousand, four hundred sixteen".