2494167899328 has 1680 divisors, whose sum is σ = 9510820704000. Its totient is φ = 632017354752.

The previous prime is 2494167899297. The next prime is 2494167899329. The reversal of 2494167899328 is 8239987614942.

2494167899328 is a `hidden beast` number, since 2 + 49 + 416 + 7 + 89 + 93 + 2 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (376233984) is a multiple of the sum of its prime divisors (256).

It is not an unprimeable number, because it can be changed into a prime (2494167899329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 17943653883 + ... + 17943654021.

It is an arithmetic number, because the mean of its divisors is an integer number (5661202800).

Almost surely, 2^{2494167899328} is an apocalyptic number.

2494167899328 is a gapful number since it is divisible by the number (28) 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 2494167899328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4755410352000).

2494167899328 is an abundant number, since it is smaller than the sum of its proper divisors (7016652804672).

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

2494167899328 is a wasteful number, since it uses less digits than its factorization.

2494167899328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 256 counting only the distinct ones).

The product of its digits is 376233984, while the sum is 72.

The spelling of 2494167899328 in words is "two trillion, four hundred ninety-four billion, one hundred sixty-seven million, eight hundred ninety-nine thousand, three hundred twenty-eight".