2425255200 has 216 divisors, whose sum is σ = 8603925876. Its totient is φ = 642816000.

The previous prime is 2425255199. The next prime is 2425255219. The reversal of 2425255200 is 25525242.

It can be written as a sum of positive squares in 6 ways, for example, as 12873744 + 2412381456 = 3588^2 + 49116^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1302270 + ... + 1304130.

Almost surely, 2^2425255200 is an apocalyptic number.

2425255200 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 2425255200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4301962938).

2425255200 is an abundant number, since it is smaller than the sum of its proper divisors (6178670676).

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

2425255200 is a wasteful number, since it uses less digits than its factorization.

2425255200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2068 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 2425255200 is about 49246.8801042259. The cubic root of 2425255200 is about 1343.5458180478.

The spelling of 2425255200 in words is "two billion, four hundred twenty-five million, two hundred fifty-five thousand, two hundred".