2493879696 has 540 divisors, whose sum is σ = 9385399296. Its totient is φ = 614718720.

The previous prime is 2493879683. The next prime is 2493879727. The reversal of 2493879696 is 6969783942.

2493879696 is a `hidden beast` number, since 2 + 493 + 87 + 9 + 69 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 19636785 + ... + 19636911.

Almost surely, 2^2493879696 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 2493879696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4692699648).

2493879696 is an abundant number, since it is smaller than the sum of its proper divisors (6891519600).

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

2493879696 is a wasteful number, since it uses less digits than its factorization.

2493879696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 173 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 63.

The square root of 2493879696 is about 49938.7594559577. The cubic root of 2493879696 is about 1356.1003658710.

The spelling of 2493879696 in words is "two billion, four hundred ninety-three million, eight hundred seventy-nine thousand, six hundred ninety-six".