2972160000 has 520 divisors, whose sum is σ = 11259020960. Its totient is φ = 774144000.

The previous prime is 2972159969. The next prime is 2972160011. The reversal of 2972160000 is 612792.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 69119979 + ... + 69120021.

Almost surely, 2^2972160000 is an apocalyptic number.

2972160000 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 2972160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5629510480).

2972160000 is an abundant number, since it is smaller than the sum of its proper divisors (8286860960).

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

2972160000 is an frugal number, since it uses more digits than its factorization.

2972160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 2972160000 is about 54517.5201196826. The cubic root of 2972160000 is about 1437.7743395748.

Adding to 2972160000 its reverse (612792), we get a palindrome (2972772792).

The spelling of 2972160000 in words is "two billion, nine hundred seventy-two million, one hundred sixty thousand".