2025800400 has 480 divisors, whose sum is σ = 7439523840. Its totient is φ = 467712000.

The previous prime is 2025800389. The next prime is 2025800401. The reversal of 2025800400 is 40085202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2025800401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28532365 + ... + 28532435.

It is an arithmetic number, because the mean of its divisors is an integer number (15499008).

Almost surely, 2^2025800400 is an apocalyptic number.

2025800400 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 2025800400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3719761920).

2025800400 is an abundant number, since it is smaller than the sum of its proper divisors (5413723440).

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

2025800400 is a wasteful number, since it uses less digits than its factorization.

2025800400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 2025800400 is about 45008.8924547139. The cubic root of 2025800400 is about 1265.3156632811.

Adding to 2025800400 its reverse (40085202), we get a palindrome (2065885602).

The spelling of 2025800400 in words is "two billion, twenty-five million, eight hundred thousand, four hundred".