2491717334400 has 1536 divisors, whose sum is σ = 11109800832000. Its totient is φ = 539358289920.

The previous prime is 2491717334363. The next prime is 2491717334497. The reversal of 2491717334400 is 44337171942.

2491717334400 is a `hidden beast` number, since 2 + 4 + 9 + 171 + 7 + 33 + 440 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 930785862 + ... + 930788538.

It is an arithmetic number, because the mean of its divisors is an integer number (7232943250).

Almost surely, 2^{2491717334400} is an apocalyptic number.

2491717334400 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 2491717334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5554900416000).

2491717334400 is an abundant number, since it is smaller than the sum of its proper divisors (8618083497600).

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

2491717334400 is an equidigital number, since it uses as much as digits as its factorization.

2491717334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2748 (or 2713 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 2491717334400 in words is "two trillion, four hundred ninety-one billion, seven hundred seventeen million, three hundred thirty-four thousand, four hundred".