2493343440 has 360 divisors, whose sum is σ = 10080593640. Its totient is φ = 550029312.

The previous prime is 2493343439. The next prime is 2493343441. The reversal of 2493343440 is 443433942.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2493343439) and next prime (2493343441).

It can be written as a sum of positive squares in 4 ways, for example, as 806105664 + 1687237776 = 28392^2 + 41076^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 = 2493343395 and 2493343404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2493343441) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1021902 + ... + 1024338.

It is an arithmetic number, because the mean of its divisors is an integer number (28001649).

Almost surely, 2^2493343440 is an apocalyptic number.

2493343440 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 2493343440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5040296820).

2493343440 is an abundant number, since it is smaller than the sum of its proper divisors (7587250200).

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

2493343440 is a wasteful number, since it uses less digits than its factorization.

2493343440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2499 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The square root of 2493343440 is about 49933.3900311205. The cubic root of 2493343440 is about 1356.0031586843.

The spelling of 2493343440 in words is "two billion, four hundred ninety-three million, three hundred forty-three thousand, four hundred forty".