2970640728 has 192 divisors, whose sum is σ = 9325929600. Its totient is φ = 844784640.

The previous prime is 2970640711. The next prime is 2970640759. The reversal of 2970640728 is 8270460792.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1699551 + ... + 1701297.

It is an arithmetic number, because the mean of its divisors is an integer number (48572550).

Almost surely, 2^2970640728 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 2970640728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4662964800).

2970640728 is an abundant number, since it is smaller than the sum of its proper divisors (6355288872).

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

2970640728 is a wasteful number, since it uses less digits than its factorization.

2970640728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902 (or 1895 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 2970640728 is about 54503.5845426702. The cubic root of 2970640728 is about 1437.5293165842.

The spelling of 2970640728 in words is "two billion, nine hundred seventy million, six hundred forty thousand, seven hundred twenty-eight".