2493749160 has 192 divisors, whose sum is σ = 9669844800. Its totient is φ = 569987712.

The previous prime is 2493749149. The next prime is 2493749173. The reversal of 2493749160 is 619473942.

It is a happy number.

2493749160 is a `hidden beast` number, since 2 + 493 + 74 + 91 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29359 + ... + 76481.

It is an arithmetic number, because the mean of its divisors is an integer number (50363775).

Almost surely, 2^2493749160 is an apocalyptic number.

2493749160 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 2493749160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4834922400).

2493749160 is an abundant number, since it is smaller than the sum of its proper divisors (7176095640).

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

2493749160 is a wasteful number, since it uses less digits than its factorization.

2493749160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47157 (or 47140 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 2493749160 is about 49937.4524780750. The cubic root of 2493749160 is about 1356.0767048786.

The spelling of 2493749160 in words is "two billion, four hundred ninety-three million, seven hundred forty-nine thousand, one hundred sixty".