2972919400 has 48 divisors (see below), whose sum is σ = 7540410240. Its totient is φ = 1081060800.

The previous prime is 2972919331. The next prime is 2972919419. The reversal of 2972919400 is 49192792.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 673464 + ... + 677863.

It is an arithmetic number, because the mean of its divisors is an integer number (157091880).

Almost surely, 2^2972919400 is an apocalyptic number.

2972919400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2972919400 is an abundant number, since it is smaller than the sum of its proper divisors (4567490840).

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

2972919400 is a wasteful number, since it uses less digits than its factorization.

2972919400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351354 (or 1351345 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 43.

The square root of 2972919400 is about 54524.4844083830. The cubic root of 2972919400 is about 1437.8967817108.

The spelling of 2972919400 in words is "two billion, nine hundred seventy-two million, nine hundred nineteen thousand, four hundred".