2549725200 has 540 divisors, whose sum is σ = 10122927984. Its totient is φ = 589248000.

The previous prime is 2549725187. The next prime is 2549725207. The reversal of 2549725200 is 25279452.

It is a happy number.

2549725200 is a `hidden beast` number, since 25 + 49 + 72 + 520 + 0 = 666.

2549725200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (2549725207) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 38055567 + ... + 38055633.

Almost surely, 2^2549725200 is an apocalyptic number.

2549725200 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 2549725200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5061463992).

2549725200 is an abundant number, since it is smaller than the sum of its proper divisors (7573202784).

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

2549725200 is a wasteful number, since it uses less digits than its factorization.

2549725200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2549725200 is about 50494.8036930534. The cubic root of 2549725200 is about 1366.1481303375.

The spelling of 2549725200 in words is "two billion, five hundred forty-nine million, seven hundred twenty-five thousand, two hundred".