2972905680 has 160 divisors (see below), whose sum is σ = 9884903040. Its totient is φ = 736819200.

The previous prime is 2972905669. The next prime is 2972905723. The reversal of 2972905680 is 865092792.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 235530 + ... + 247830.

It is an arithmetic number, because the mean of its divisors is an integer number (61780644).

Almost surely, 2^2972905680 is an apocalyptic number.

2972905680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2972905680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4942451520).

2972905680 is an abundant number, since it is smaller than the sum of its proper divisors (6911997360).

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

2972905680 is a wasteful number, since it uses less digits than its factorization.

2972905680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12389 (or 12383 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 2972905680 is about 54524.3585932013. The cubic root of 2972905680 is about 1437.8945697465.

The spelling of 2972905680 in words is "two billion, nine hundred seventy-two million, nine hundred five thousand, six hundred eighty".