2472379200 has 252 divisors, whose sum is σ = 9114312480. Its totient is φ = 659197440.

The previous prime is 2472379193. The next prime is 2472379223. The reversal of 2472379200 is 29732742.

It is a super-2 number, since 2×2472379200² = 12225317817185280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 385621 + ... + 391979.

Almost surely, 2^2472379200 is an apocalyptic number.

2472379200 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 2472379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4557156240).

2472379200 is an abundant number, since it is smaller than the sum of its proper divisors (6641933280).

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

2472379200 is an equidigital number, since it uses as much as digits as its factorization.

2472379200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6396 (or 6369 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 2472379200 is about 49723.0248476498. The cubic root of 2472379200 is about 1352.1919944886.

The spelling of 2472379200 in words is "two billion, four hundred seventy-two million, three hundred seventy-nine thousand, two hundred".