2493383200 has 288 divisors, whose sum is σ = 8038735488. Its totient is φ = 731136000.

The previous prime is 2493383173. The next prime is 2493383213. The reversal of 2493383200 is 23833942.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 1046010 + ... + 1048390.

It is an arithmetic number, because the mean of its divisors is an integer number (27912276).

Almost surely, 2^2493383200 is an apocalyptic number.

2493383200 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 2493383200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4019367744).

2493383200 is an abundant number, since it is smaller than the sum of its proper divisors (5545352288).

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

2493383200 is a wasteful number, since it uses less digits than its factorization.

2493383200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2436 (or 2423 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 2493383200 is about 49933.7881599223. The cubic root of 2493383200 is about 1356.0103664624.

The spelling of 2493383200 in words is "two billion, four hundred ninety-three million, three hundred eighty-three thousand, two hundred".