2479565610720 has 480 divisors, whose sum is σ = 9553703677056. Its totient is φ = 600642432000.

The previous prime is 2479565610719. The next prime is 2479565610793. The reversal of 2479565610720 is 270165659742.

It is a happy number.

2479565610720 is a `hidden beast` number, since 2 + 4 + 7 + 9 + 5 + 6 + 561 + 0 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×2479565610720² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 206848567 + ... + 206860553.

Almost surely, 2^{2479565610720} is an apocalyptic number.

2479565610720 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 2479565610720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4776851838528).

2479565610720 is an abundant number, since it is smaller than the sum of its proper divisors (7074138066336).

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

2479565610720 is a wasteful number, since it uses less digits than its factorization.

2479565610720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13476 (or 13459 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 2479565610720 in words is "two trillion, four hundred seventy-nine billion, five hundred sixty-five million, six hundred ten thousand, seven hundred twenty".