2976435072 has 384 divisors, whose sum is σ = 10151537760. Its totient is φ = 859963392.

The previous prime is 2976435053. The next prime is 2976435107. The reversal of 2976435072 is 2705346792.

2976435072 is a `hidden beast` number, since 297 + 6 + 4 + 350 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 6873768 + ... + 6874200.

Almost surely, 2^2976435072 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 2976435072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5075768880).

2976435072 is an abundant number, since it is smaller than the sum of its proper divisors (7175102688).

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

2976435072 is a wasteful number, since it uses less digits than its factorization.

2976435072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 2976435072 is about 54556.7142705644. The cubic root of 2976435072 is about 1438.4633608194.

The spelling of 2976435072 in words is "two billion, nine hundred seventy-six million, four hundred thirty-five thousand, seventy-two".