2972392800 has 288 divisors, whose sum is σ = 10646318592. Its totient is φ = 715745280.

The previous prime is 2972392783. The next prime is 2972392837. The reversal of 2972392800 is 82932792.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1465387 + ... + 1467413.

It is an arithmetic number, because the mean of its divisors is an integer number (36966384).

Almost surely, 2^2972392800 is an apocalyptic number.

2972392800 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 2972392800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5323159296).

2972392800 is an abundant number, since it is smaller than the sum of its proper divisors (7673925792).

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

2972392800 is a wasteful number, since it uses less digits than its factorization.

2972392800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2110 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 2972392800 is about 54519.6551713233. The cubic root of 2972392800 is about 1437.8118773843.

The spelling of 2972392800 in words is "two billion, nine hundred seventy-two million, three hundred ninety-two thousand, eight hundred".