2472873984 has 351 divisors, whose sum is σ = 8539830117. Its totient is φ = 687439872.

The previous prime is 2472873973. The next prime is 2472874039. The reversal of 2472873984 is 4893782742.

It is a happy number.

The square root of 2472873984 is 49728.

It is a perfect power (a square), and thus also a powerful number.

2472873984 is a `hidden beast` number, since 2 + 472 + 87 + 3 + 98 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2212761600 + 260112384 = 47040^2 + 16128^2 .

It is a super-2 number, since 2×2472873984² = 12230211481488064512, which contains 22 as substring.

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

Its product of digits (5419008) is a multiple of the sum of its prime divisors (49).

It is a self number, because there is not a number n which added to its sum of digits gives 2472873984.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 66834414 + ... + 66834450.

Almost surely, 2^2472873984 is an apocalyptic number.

2472873984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2472873984 is the 49728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2472873984

2472873984 is an abundant number, since it is smaller than the sum of its proper divisors (6066956133).

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

2472873984 is an equidigital number, since it uses as much as digits as its factorization.

2472873984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 49 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The cubic root of 2472873984 is about 1352.2821907846.

The spelling of 2472873984 in words is "two billion, four hundred seventy-two million, eight hundred seventy-three thousand, nine hundred eighty-four".