2491434582192 has 800 divisors, whose sum is σ = 7899100425216. Its totient is φ = 756138240000.

The previous prime is 2491434582121. The next prime is 2491434582227. The reversal of 2491434582192 is 2912854341942.

2491434582192 is a `hidden beast` number, since 2 + 4 + 9 + 1 + 43 + 4 + 582 + 19 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9926034067 + ... + 9926034317.

Almost surely, 2^{2491434582192} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2491434582192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3949550212608).

2491434582192 is an abundant number, since it is smaller than the sum of its proper divisors (5407665843024).

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

2491434582192 is a wasteful number, since it uses less digits than its factorization.

2491434582192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 496 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 2491434582192 in words is "two trillion, four hundred ninety-one billion, four hundred thirty-four million, five hundred eighty-two thousand, one hundred ninety-two".