2493688896 has 224 divisors, whose sum is σ = 7783372800. Its totient is φ = 780710400.

The previous prime is 2493688829. The next prime is 2493688903. The reversal of 2493688896 is 6988863942.

2493688896 is a `hidden beast` number, since 2 + 493 + 68 + 8 + 89 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4957381 + ... + 4957883.

It is an arithmetic number, because the mean of its divisors is an integer number (34747200).

Almost surely, 2^2493688896 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 2493688896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3891686400).

2493688896 is an abundant number, since it is smaller than the sum of its proper divisors (5289683904).

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

2493688896 is a wasteful number, since it uses less digits than its factorization.

2493688896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 678 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The square root of 2493688896 is about 49936.8490796125. The cubic root of 2493688896 is about 1356.0657811302.

The spelling of 2493688896 in words is "two billion, four hundred ninety-three million, six hundred eighty-eight thousand, eight hundred ninety-six".