2493934080 has 320 divisors, whose sum is σ = 8877610368. Its totient is φ = 592117760.

The previous prime is 2493934033. The next prime is 2493934109. The reversal of 2493934080 is 804393942.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

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, 4477162 + ... + 4477718.

Almost surely, 2^2493934080 is an apocalyptic number.

2493934080 is a gapful number since it is divisible by the number (20) 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 2493934080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4438805184).

2493934080 is an abundant number, since it is smaller than the sum of its proper divisors (6383676288).

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

2493934080 is a wasteful number, since it uses less digits than its factorization.

2493934080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 2493934080 is about 49939.3039599072. The cubic root of 2493934080 is about 1356.1102232867.

The spelling of 2493934080 in words is "two billion, four hundred ninety-three million, nine hundred thirty-four thousand, eighty".