2493928320 has 256 divisors, whose sum is σ = 8773289280. Its totient is φ = 598671360.

The previous prime is 2493928301. The next prime is 2493928379. The reversal of 2493928320 is 238293942.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1022142 + ... + 1024578.

Almost surely, 2^2493928320 is an apocalyptic number.

2493928320 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 2493928320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4386644640).

2493928320 is an abundant number, since it is smaller than the sum of its proper divisors (6279360960).

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

2493928320 is a wasteful number, since it uses less digits than its factorization.

2493928320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2513 (or 2501 counting only the distinct ones).

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

The square root of 2493928320 is about 49939.2462898671. The cubic root of 2493928320 is about 1356.1091792600.

The spelling of 2493928320 in words is "two billion, four hundred ninety-three million, nine hundred twenty-eight thousand, three hundred twenty".