2478984000 has 112 divisors (see below), whose sum is σ = 8185684416. Its totient is φ = 661056000.

The previous prime is 2478983989. The next prime is 2478984023. The reversal of 2478984000 is 4898742.

It is a super-2 number, since 2×2478984000² = 12290723344512000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27646 + ... + 75645.

It is an arithmetic number, because the mean of its divisors is an integer number (73086468).

Almost surely, 2^2478984000 is an apocalyptic number.

2478984000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2478984000 is an abundant number, since it is smaller than the sum of its proper divisors (5706700416).

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

2478984000 is a wasteful number, since it uses less digits than its factorization.

2478984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103321 (or 103301 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 2478984000 is about 49789.3964614957. The cubic root of 2478984000 is about 1353.3950214681.

The spelling of 2478984000 in words is "two billion, four hundred seventy-eight million, nine hundred eighty-four thousand".