2493288000 has 896 divisors, whose sum is σ = 11183477760. Its totient is φ = 530841600.

The previous prime is 2493287989. The next prime is 2493288019. The reversal of 2493288000 is 8823942.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 25703952 + ... + 25704048.

It is an arithmetic number, because the mean of its divisors is an integer number (12481560).

Almost surely, 2^2493288000 is an apocalyptic number.

2493288000 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 2493288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5591738880).

2493288000 is an abundant number, since it is smaller than the sum of its proper divisors (8690189760).

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

2493288000 is a wasteful number, since it uses less digits than its factorization.

2493288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2493288000 is about 49932.8348884779. The cubic root of 2493288000 is about 1355.9931082742.

The spelling of 2493288000 in words is "two billion, four hundred ninety-three million, two hundred eighty-eight thousand".