2493489960 has 512 divisors, whose sum is σ = 9812275200. Its totient is φ = 557383680.

The previous prime is 2493489931. The next prime is 2493490019. The reversal of 2493489960 is 699843942.

2493489960 is a `hidden beast` number, since 2 + 493 + 4 + 8 + 99 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2493489897 and 2493489906.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7398912 + ... + 7399248.

It is an arithmetic number, because the mean of its divisors is an integer number (19164600).

Almost surely, 2^2493489960 is an apocalyptic number.

2493489960 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 2493489960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4906137600).

2493489960 is an abundant number, since it is smaller than the sum of its proper divisors (7318785240).

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

2493489960 is a wasteful number, since it uses less digits than its factorization.

2493489960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The square root of 2493489960 is about 49934.8571641093. The cubic root of 2493489960 is about 1356.0297197653.

The spelling of 2493489960 in words is "two billion, four hundred ninety-three million, four hundred eighty-nine thousand, nine hundred sixty".