2472192000 has 576 divisors, whose sum is σ = 9467312400. Its totient is φ = 619315200.

The previous prime is 2472191993. The next prime is 2472192013. The reversal of 2472192000 is 2912742.

2472192000 is a `hidden beast` number, since 2 + 472 + 192 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 410305536 + 2061886464 = 20256^2 + 45408^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×2472192000² = 12223466569728000000, which contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 66815982 + ... + 66816018.

Almost surely, 2^2472192000 is an apocalyptic number.

2472192000 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 2472192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4733656200).

2472192000 is an abundant number, since it is smaller than the sum of its proper divisors (6995120400).

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

2472192000 is a wasteful number, since it uses less digits than its factorization.

2472192000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2472192000 is about 49721.1423843017. The cubic root of 2472192000 is about 1352.1578658606.

The spelling of 2472192000 in words is "two billion, four hundred seventy-two million, one hundred ninety-two thousand".