2972292400 has 360 divisors, whose sum is σ = 9292516352. Its totient is φ = 893376000.

The previous prime is 2972292347. The next prime is 2972292403. The reversal of 2972292400 is 42922792.

It is a super-2 number, since 2×2972292400² = 17669044222195520000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2972292400.

It is not an unprimeable number, because it can be changed into a prime (2972292403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10502659 + ... + 10502941.

Almost surely, 2^2972292400 is an apocalyptic number.

2972292400 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 2972292400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4646258176).

2972292400 is an abundant number, since it is smaller than the sum of its proper divisors (6320223952).

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

2972292400 is a wasteful number, since it uses less digits than its factorization.

2972292400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 2972292400 is about 54518.7343947014. The cubic root of 2972292400 is about 1437.7956886381.

The spelling of 2972292400 in words is "two billion, nine hundred seventy-two million, two hundred ninety-two thousand, four hundred".