2493344256 has 320 divisors, whose sum is σ = 7672008960. Its totient is φ = 713687040.

The previous prime is 2493344251. The next prime is 2493344257. The reversal of 2493344256 is 6524433942.

It is not an unprimeable number, because it can be changed into a prime (2493344251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28015060 + ... + 28015148.

It is an arithmetic number, because the mean of its divisors is an integer number (23975028).

Almost surely, 2^2493344256 is an apocalyptic number.

2493344256 is a gapful number since it is divisible by the number (26) 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 2493344256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3836004480).

2493344256 is an abundant number, since it is smaller than the sum of its proper divisors (5178664704).

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

2493344256 is a wasteful number, since it uses less digits than its factorization.

2493344256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 191 counting only the distinct ones).

The product of its digits is 622080, while the sum is 42.

The square root of 2493344256 is about 49933.3982020050. The cubic root of 2493344256 is about 1356.0033066113.

The spelling of 2493344256 in words is "two billion, four hundred ninety-three million, three hundred forty-four thousand, two hundred fifty-six".