2493189504 has 256 divisors, whose sum is σ = 7992230400. Its totient is φ = 760596480.

The previous prime is 2493189497. The next prime is 2493189509. The reversal of 2493189504 is 4059813942.

2493189504 is a `hidden beast` number, since 249 + 318 + 95 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2493189504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2493189509) 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, 9479677 + ... + 9479939.

It is an arithmetic number, because the mean of its divisors is an integer number (31219650).

Almost surely, 2^2493189504 is an apocalyptic number.

2493189504 is a gapful number since it is divisible by the number (24) 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 2493189504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3996115200).

2493189504 is an abundant number, since it is smaller than the sum of its proper divisors (5499040896).

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

2493189504 is a wasteful number, since it uses less digits than its factorization.

2493189504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 2493189504 is about 49931.8485938584. The cubic root of 2493189504 is about 1355.9752521131.

The spelling of 2493189504 in words is "two billion, four hundred ninety-three million, one hundred eighty-nine thousand, five hundred four".