2479977477360 has 320 divisors, whose sum is σ = 9087517647360. Its totient is φ = 619473899520.

The previous prime is 2479977477347. The next prime is 2479977477379. The reversal of 2479977477360 is 637747799742.

2479977477360 is a `hidden beast` number, since 2 + 4 + 7 + 9 + 97 + 7 + 477 + 3 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7587879 + ... + 7907961.

It is an arithmetic number, because the mean of its divisors is an integer number (28398492648).

Almost surely, 2^{2479977477360} is an apocalyptic number.

2479977477360 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 2479977477360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4543758823680).

2479977477360 is an abundant number, since it is smaller than the sum of its proper divisors (6607540170000).

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

2479977477360 is a wasteful number, since it uses less digits than its factorization.

2479977477360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320333 (or 320321 counting only the distinct ones).

The product of its (nonzero) digits is 784147392, while the sum is 72.

The spelling of 2479977477360 in words is "two trillion, four hundred seventy-nine billion, nine hundred seventy-seven million, four hundred seventy-seven thousand, three hundred sixty".