2493925200 has 600 divisors, whose sum is σ = 10002026496. Its totient is φ = 590976000.

The previous prime is 2493925157. The next prime is 2493925219. The reversal of 2493925200 is 25293942.

2493925200 is a `hidden beast` number, since 2 + 49 + 3 + 92 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13057105 + ... + 13057295.

Almost surely, 2^2493925200 is an apocalyptic number.

2493925200 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 2493925200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5001013248).

2493925200 is an abundant number, since it is smaller than the sum of its proper divisors (7508101296).

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

2493925200 is a wasteful number, since it uses less digits than its factorization.

2493925200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2493925200 is about 49939.2150519008. The cubic root of 2493925200 is about 1356.1086137449.

The spelling of 2493925200 in words is "two billion, four hundred ninety-three million, nine hundred twenty-five thousand, two hundred".