2479718400 has 192 divisors, whose sum is σ = 8207603400. Its totient is φ = 660602880.

The previous prime is 2479718393. The next prime is 2479718431. The reversal of 2479718400 is 48179742.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2479718400² = 12298006686597120000, 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 11 ways as a sum of consecutive naturals, for example, 2457096 + ... + 2458104.

Almost surely, 2^2479718400 is an apocalyptic number.

2479718400 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 2479718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4103801700).

2479718400 is an abundant number, since it is smaller than the sum of its proper divisors (5727885000).

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

2479718400 is an equidigital number, since it uses as much as digits as its factorization.

2479718400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 2479718400 is about 49796.7709796529. The cubic root of 2479718400 is about 1353.5286562110.

The spelling of 2479718400 in words is "two billion, four hundred seventy-nine million, seven hundred eighteen thousand, four hundred".