2491826416704 has 567 divisors, whose sum is σ = 7840463986173. Its totient is φ = 756492632064.

The previous prime is 2491826416699. The next prime is 2491826416727. The reversal of 2491826416704 is 4076146281942.

The square root of 2491826416704 is 1578552.

It is a perfect power (a square), and thus also a powerful number.

2491826416704 is a `hidden beast` number, since 2 + 49 + 182 + 6 + 416 + 7 + 0 + 4 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 91954497600 + 2399871919104 = 303240^2 + 1549152^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 34134608412 + ... + 34134608484.

Almost surely, 2^{2491826416704} is an apocalyptic number.

2491826416704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2491826416704 is the 1578552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2491826416704

2491826416704 is an abundant number, since it is smaller than the sum of its proper divisors (5348637569469).

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

2491826416704 is an equidigital number, since it uses as much as digits as its factorization.

2491826416704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 2491826416704 in words is "two trillion, four hundred ninety-one billion, eight hundred twenty-six million, four hundred sixteen thousand, seven hundred four".