2472792336 has 120 divisors (see below), whose sum is σ = 7929157184. Its totient is φ = 704712960.

The previous prime is 2472792317. The next prime is 2472792337. The reversal of 2472792336 is 6332972742.

2472792336 is a `hidden beast` number, since 2 + 47 + 279 + 2 + 336 = 666.

It is a super-2 number, since 2×2472792336² = 12229403873960673792, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2472792291 and 2472792300.

It is not an unprimeable number, because it can be changed into a prime (2472792337) 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 23 ways as a sum of consecutive naturals, for example, 421455 + ... + 427281.

Almost surely, 2^2472792336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2472792336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3964578592).

2472792336 is an abundant number, since it is smaller than the sum of its proper divisors (5456364848).

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

2472792336 is a wasteful number, since it uses less digits than its factorization.

2472792336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6269 (or 6260 counting only the distinct ones).

The product of its digits is 762048, while the sum is 45.

The square root of 2472792336 is about 49727.1790472776. The cubic root of 2472792336 is about 1352.2673076496.

The spelling of 2472792336 in words is "two billion, four hundred seventy-two million, seven hundred ninety-two thousand, three hundred thirty-six".