2498534167680 has 768 divisors, whose sum is σ = 9146248151040. Its totient is φ = 627755950080.

The previous prime is 2498534167607. The next prime is 2498534167693. The reversal of 2498534167680 is 867614358942.

2498534167680 is a `hidden beast` number, since 2 + 4 + 9 + 8 + 534 + 16 + 7 + 6 + 80 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 826506649 + ... + 826509671.

It is an arithmetic number, because the mean of its divisors is an integer number (11909177280).

It is a 1-persistent number, because it is pandigital, but 2⋅2498534167680 = 4997068335360 is not.

Almost surely, 2^{2498534167680} is an apocalyptic number.

2498534167680 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 2498534167680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4573124075520).

2498534167680 is an abundant number, since it is smaller than the sum of its proper divisors (6647713983360).

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

2498534167680 is a wasteful number, since it uses less digits than its factorization.

2498534167680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3209 (or 3194 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 2498534167680 in words is "two trillion, four hundred ninety-eight billion, five hundred thirty-four million, one hundred sixty-seven thousand, six hundred eighty".