2494424814336 has 1296 divisors, whose sum is σ = 9569746368000. Its totient is φ = 622611505152.

The previous prime is 2494424814313. The next prime is 2494424814347. The reversal of 2494424814336 is 6334184244942.

2494424814336 is a `hidden beast` number, since 2 + 4 + 94 + 4 + 2 + 481 + 43 + 36 = 666.

It is a super-2 number, since 2×2494424814336² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2537562901 + ... + 2537563883.

Almost surely, 2^{2494424814336} is an apocalyptic number.

2494424814336 is a gapful number since it is divisible by the number (26) 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 2494424814336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4784873184000).

2494424814336 is an abundant number, since it is smaller than the sum of its proper divisors (7075321553664).

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

2494424814336 is a wasteful number, since it uses less digits than its factorization.

2494424814336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1027 counting only the distinct ones).

The product of its digits is 15925248, while the sum is 54.

The spelling of 2494424814336 in words is "two trillion, four hundred ninety-four billion, four hundred twenty-four million, eight hundred fourteen thousand, three hundred thirty-six".