2468479860 has 540 divisors, whose sum is σ = 9939873636. Its totient is φ = 510935040.

The previous prime is 2468479859. The next prime is 2468479877. The reversal of 2468479860 is 689748642.

It can be written as a sum of positive squares in 2 ways, for example, as 1846077156 + 622402704 = 42966^2 + 24948^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2468479797 and 2468479806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 9604852 + ... + 9605108.

Almost surely, 2^2468479860 is an apocalyptic number.

2468479860 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 2468479860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4969936818).

2468479860 is an abundant number, since it is smaller than the sum of its proper divisors (7471393776).

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

2468479860 is a wasteful number, since it uses less digits than its factorization.

2468479860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 2468479860 is about 49683.7987678076. The cubic root of 2468479860 is about 1351.4807456228.

The spelling of 2468479860 in words is "two billion, four hundred sixty-eight million, four hundred seventy-nine thousand, eight hundred sixty".