2974836672 has 224 divisors, whose sum is σ = 9046464000. Its totient is φ = 958003200.

The previous prime is 2974836671. The next prime is 2974836673. The reversal of 2974836672 is 2766384792.

2974836672 is a `hidden beast` number, since 2 + 97 + 483 + 6 + 6 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (2974836671) and next prime (2974836673).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2974836671) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 14098647 + ... + 14098857.

It is an arithmetic number, because the mean of its divisors is an integer number (40386000).

Almost surely, 2^2974836672 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 2974836672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4523232000).

2974836672 is an abundant number, since it is smaller than the sum of its proper divisors (6071627328).

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

2974836672 is a wasteful number, since it uses less digits than its factorization.

2974836672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 456 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The square root of 2974836672 is about 54542.0633273073. The cubic root of 2974836672 is about 1438.2058210130.

The spelling of 2974836672 in words is "two billion, nine hundred seventy-four million, eight hundred thirty-six thousand, six hundred seventy-two".