2202472000 has 56 divisors (see below), whose sum is σ = 5454441720. Its totient is φ = 880985600.

The previous prime is 2202471949. The next prime is 2202472037. The reversal of 2202472000 is 2742022.

It can be written as a sum of positive squares in 4 ways, for example, as 300814336 + 1901657664 = 17344^2 + 43608^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129655 + ... + 145654.

It is an arithmetic number, because the mean of its divisors is an integer number (97400745).

Almost surely, 2^2202472000 is an apocalyptic number.

2202472000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2202472000 is an abundant number, since it is smaller than the sum of its proper divisors (3251969720).

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

2202472000 is an equidigital number, since it uses as much as digits as its factorization.

2202472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275336 (or 275316 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 19.

The square root of 2202472000 is about 46930.5018085253. The cubic root of 2202472000 is about 1301.0783951273.

The spelling of 2202472000 in words is "two billion, two hundred two million, four hundred seventy-two thousand".