2493312640 has 256 divisors, whose sum is σ = 7578224640. Its totient is φ = 763084800.

The previous prime is 2493312629. The next prime is 2493312721. The reversal of 2493312640 is 462133942.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2493312596 and 2493312605.

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, 1804750 + ... + 1806130.

It is an arithmetic number, because the mean of its divisors is an integer number (29602440).

Almost surely, 2^2493312640 is an apocalyptic number.

2493312640 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 2493312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3789112320).

2493312640 is an abundant number, since it is smaller than the sum of its proper divisors (5084912000).

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

2493312640 is a wasteful number, since it uses less digits than its factorization.

2493312640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 2493312640 is about 49933.0816193032. The cubic root of 2493312640 is about 1355.9975751415.

It can be divided in two parts, 24933 and 12640, that added together give a palindrome (37573).

The spelling of 2493312640 in words is "two billion, four hundred ninety-three million, three hundred twelve thousand, six hundred forty".