2494716174720 has 2560 divisors, whose sum is σ = 12002822092800. Its totient is φ = 478235197440.

The previous prime is 2494716174689. The next prime is 2494716174773. The reversal of 2494716174720 is 274716174942.

2494716174720 is a `hidden beast` number, since 2 + 4 + 9 + 4 + 7 + 161 + 7 + 472 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2662450092 + ... + 2662451028.

It is an arithmetic number, because the mean of its divisors is an integer number (4688602380).

Almost surely, 2^{2494716174720} is an apocalyptic number.

2494716174720 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 2494716174720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6001411046400).

2494716174720 is an abundant number, since it is smaller than the sum of its proper divisors (9508105918080).

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

2494716174720 is a wasteful number, since it uses less digits than its factorization.

2494716174720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 2494716174720 in words is "two trillion, four hundred ninety-four billion, seven hundred sixteen million, one hundred seventy-four thousand, seven hundred twenty".