2972072560900 has 81 divisors (see below), whose sum is σ = 6851765682237. Its totient is φ = 1118787571200.

The previous prime is 2972072560841. The next prime is 2972072560901. The reversal of 2972072560900 is 90652702792.

The square root of 2972072560900 is 1723970.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 2045489202436 + 926583358464 = 1430206^2 + 962592^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2972072560901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 293069830 + ... + 293079970.

Almost surely, 2^{2972072560900} is an apocalyptic number.

2972072560900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2972072560900 is the 1723970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2972072560900

2972072560900 is an abundant number, since it is smaller than the sum of its proper divisors (3879693121337).

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

2972072560900 is an equidigital number, since it uses as much as digits as its factorization.

2972072560900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20330 (or 10165 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 49.

Multiplying 2972072560900 by its sum of digits (49), we get a square (145631555484100 = 12067790²).

The spelling of 2972072560900 in words is "two trillion, nine hundred seventy-two billion, seventy-two million, five hundred sixty thousand, nine hundred".