2493930240 has 216 divisors, whose sum is σ = 8863462608. Its totient is φ = 646963200.

The previous prime is 2493930239. The next prime is 2493930259. The reversal of 2493930240 is 420393942.

2493930240 is a `hidden beast` number, since 24 + 9 + 393 + 0 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2493930195 and 2493930204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 423315 + ... + 429165.

Almost surely, 2^2493930240 is an apocalyptic number.

2493930240 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 2493930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4431731304).

2493930240 is an abundant number, since it is smaller than the sum of its proper divisors (6369532368).

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

2493930240 is a wasteful number, since it uses less digits than its factorization.

2493930240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5915 (or 5898 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 2493930240 is about 49939.2655132212. The cubic root of 2493930240 is about 1356.1095272691.

The spelling of 2493930240 in words is "two billion, four hundred ninety-three million, nine hundred thirty thousand, two hundred forty".