2493658440 has 256 divisors, whose sum is σ = 10230796800. Its totient is φ = 526113792.

The previous prime is 2493658411. The next prime is 2493658441. The reversal of 2493658440 is 448563942.

2493658440 is a `hidden beast` number, since 24 + 9 + 3 + 6 + 584 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2493658441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85594 + ... + 110966.

It is an arithmetic number, because the mean of its divisors is an integer number (39964050).

Almost surely, 2^2493658440 is an apocalyptic number.

2493658440 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 2493658440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5115398400).

2493658440 is an abundant number, since it is smaller than the sum of its proper divisors (7737138360).

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

2493658440 is a wasteful number, since it uses less digits than its factorization.

2493658440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25413 (or 25403 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 2493658440 is about 49936.5441335301. The cubic root of 2493658440 is about 1356.0602604593.

The spelling of 2493658440 in words is "two billion, four hundred ninety-three million, six hundred fifty-eight thousand, four hundred forty".