2479457280 has 176 divisors, whose sum is σ = 7970526720. Its totient is φ = 657850368.

The previous prime is 2479457273. The next prime is 2479457287. The reversal of 2479457280 is 827549742.

It is an interprime number because it is at equal distance from previous prime (2479457273) and next prime (2479457287).

It is a super-2 number, since 2×2479457280² = 12295416806689996800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2479457287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5176081 + ... + 5176559.

Almost surely, 2^2479457280 is an apocalyptic number.

2479457280 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 2479457280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3985263360).

2479457280 is an abundant number, since it is smaller than the sum of its proper divisors (5491069440).

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

2479457280 is a wasteful number, since it uses less digits than its factorization.

2479457280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The square root of 2479457280 is about 49794.1490538798. The cubic root of 2479457280 is about 1353.4811446590.

The spelling of 2479457280 in words is "two billion, four hundred seventy-nine million, four hundred fifty-seven thousand, two hundred eighty".