2973872160 has 432 divisors, whose sum is σ = 12023339328. Its totient is φ = 655672320.

The previous prime is 2973872149. The next prime is 2973872197. The reversal of 2973872160 is 612783792.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9686727 + ... + 9687033.

It is an arithmetic number, because the mean of its divisors is an integer number (27831804).

Almost surely, 2^2973872160 is an apocalyptic number.

2973872160 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 2973872160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6011669664).

2973872160 is an abundant number, since it is smaller than the sum of its proper divisors (9049467168).

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

2973872160 is a wasteful number, since it uses less digits than its factorization.

2973872160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 2973872160 is about 54533.2207007802. The cubic root of 2973872160 is about 1438.0503708298.

The spelling of 2973872160 in words is "two billion, nine hundred seventy-three million, eight hundred seventy-two thousand, one hundred sixty".