2025907200 has 330 divisors, whose sum is σ = 7509374466. Its totient is φ = 539688960.

The previous prime is 2025907189. The next prime is 2025907217. The reversal of 2025907200 is 27095202.

It is a happy number.

2025907200 is a `hidden beast` number, since 2 + 0 + 2 + 590 + 72 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 491774976 + 1534132224 = 22176^2 + 39168^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2073112 + ... + 2074088.

Almost surely, 2^2025907200 is an apocalyptic number.

2025907200 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 2025907200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3754687233).

2025907200 is an abundant number, since it is smaller than the sum of its proper divisors (5483467266).

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

2025907200 is an equidigital number, since it uses as much as digits as its factorization.

2025907200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2025907200 is about 45010.0788712928. The cubic root of 2025907200 is about 1265.3378986633.

The spelling of 2025907200 in words is "two billion, twenty-five million, nine hundred seven thousand, two hundred".