2479143680 has 144 divisors (see below), whose sum is σ = 6428298240. Its totient is φ = 910639104.

The previous prime is 2479143673. The next prime is 2479143701. The reversal of 2479143680 is 863419742.

It is a Cunningham number, because it is equal to 49791²-1.

It is a super-2 number, since 2×2479143680² = 12292306772167884800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6372926 + ... + 6373314.

It is an arithmetic number, because the mean of its divisors is an integer number (44640960).

Almost surely, 2^2479143680 is an apocalyptic number.

2479143680 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 2479143680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214149120).

2479143680 is an abundant number, since it is smaller than the sum of its proper divisors (3949154560).

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

2479143680 is a wasteful number, since it uses less digits than its factorization.

2479143680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The square root of 2479143680 is about 49790.9999899580. Note that the first 4 decimals coincide. The cubic root of 2479143680 is about 1353.4240798077.

The spelling of 2479143680 in words is "two billion, four hundred seventy-nine million, one hundred forty-three thousand, six hundred eighty".