2517324480 has 504 divisors, whose sum is σ = 9898471440. Its totient is φ = 604661760.

The previous prime is 2517324463. The next prime is 2517324499. The reversal of 2517324480 is 844237152.

It is a happy number.

2517324480 is a `hidden beast` number, since 2 + 5 + 173 + 2 + 4 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23094666 + ... + 23094774.

Almost surely, 2^2517324480 is an apocalyptic number.

2517324480 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 2517324480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4949235720).

2517324480 is an abundant number, since it is smaller than the sum of its proper divisors (7381146960).

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

2517324480 is an equidigital number, since it uses as much as digits as its factorization.

2517324480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2517324480 is about 50172.9456978559. The cubic root of 2517324480 is about 1360.3366525294.

The spelling of 2517324480 in words is "two billion, five hundred seventeen million, three hundred twenty-four thousand, four hundred eighty".