2479986960 has 480 divisors, whose sum is σ = 9119416320. Its totient is φ = 555709440.

The previous prime is 2479986941. The next prime is 2479986973. The reversal of 2479986960 is 696899742.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 2479986894 and 2479986903.

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 95 ways as a sum of consecutive naturals, for example, 31392201 + ... + 31392279.

It is an arithmetic number, because the mean of its divisors is an integer number (18998784).

Almost surely, 2^2479986960 is an apocalyptic number.

2479986960 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 2479986960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4559708160).

2479986960 is an abundant number, since it is smaller than the sum of its proper divisors (6639429360).

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

2479986960 is a wasteful number, since it uses less digits than its factorization.

2479986960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 60.

The square root of 2479986960 is about 49799.4674670322. The cubic root of 2479986960 is about 1353.5775180138.

The spelling of 2479986960 in words is "two billion, four hundred seventy-nine million, nine hundred eighty-six thousand, nine hundred sixty".