2493613440 has 192 divisors, whose sum is σ = 8821612800. Its totient is φ = 648683520.

The previous prime is 2493613393. The next prime is 2493613453. The reversal of 2493613440 is 443163942.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 2493613395 and 2493613404.

It is a congruent number.

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, 230881 + ... + 241439.

It is an arithmetic number, because the mean of its divisors is an integer number (45945900).

Almost surely, 2^2493613440 is an apocalyptic number.

2493613440 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 2493613440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4410806400).

2493613440 is an abundant number, since it is smaller than the sum of its proper divisors (6327999360).

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

2493613440 is a wasteful number, since it uses less digits than its factorization.

2493613440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10625 (or 10610 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 2493613440 is about 49936.0935596688. The cubic root of 2493613440 is about 1356.0521033573.

The spelling of 2493613440 in words is "two billion, four hundred ninety-three million, six hundred thirteen thousand, four hundred forty".