2479473600 has 336 divisors, whose sum is σ = 8732203008. Its totient is φ = 614338560.

The previous prime is 2479473599. The next prime is 2479473617. The reversal of 2479473600 is 63749742.

It is a super-2 number, since 2×2479473600² = 12295578666193920000, 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 47 ways as a sum of consecutive naturals, for example, 4084497 + ... + 4085103.

Almost surely, 2^2479473600 is an apocalyptic number.

2479473600 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 2479473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4366101504).

2479473600 is an abundant number, since it is smaller than the sum of its proper divisors (6252729408).

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

2479473600 is a wasteful number, since it uses less digits than its factorization.

2479473600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The square root of 2479473600 is about 49794.3129282853. The cubic root of 2479473600 is about 1353.4841142288.

The spelling of 2479473600 in words is "two billion, four hundred seventy-nine million, four hundred seventy-three thousand, six hundred".