2972889756 has 96 divisors (see below), whose sum is σ = 8245500480. Its totient is φ = 923000832.

The previous prime is 2972889749. The next prime is 2972889769. The reversal of 2972889756 is 6579882792.

It is a junction number, because it is equal to n+sod(n) for n = 2972889693 and 2972889702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169746 + ... + 186438.

It is an arithmetic number, because the mean of its divisors is an integer number (85890630).

Almost surely, 2^2972889756 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 2972889756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4122750240).

2972889756 is an abundant number, since it is smaller than the sum of its proper divisors (5272610724).

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

2972889756 is a wasteful number, since it uses less digits than its factorization.

2972889756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16820 (or 16812 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 63.

The square root of 2972889756 is about 54524.2125665286. The cubic root of 2972889756 is about 1437.8920024407.

The spelling of 2972889756 in words is "two billion, nine hundred seventy-two million, eight hundred eighty-nine thousand, seven hundred fifty-six".