2025456400 has 120 divisors (see below), whose sum is σ = 5327784000. Its totient is φ = 733862400.

The previous prime is 2025456397. The next prime is 2025456401. The reversal of 2025456400 is 46545202.

It is not an unprimeable number, because it can be changed into a prime (2025456401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1534941 + ... + 1536259.

It is an arithmetic number, because the mean of its divisors is an integer number (44398200).

Almost surely, 2^2025456400 is an apocalyptic number.

2025456400 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 2025456400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2663892000).

2025456400 is an abundant number, since it is smaller than the sum of its proper divisors (3302327600).

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

2025456400 is a wasteful number, since it uses less digits than its factorization.

2025456400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1697 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 2025456400 is about 45005.0708254081. The cubic root of 2025456400 is about 1265.2440383853.

The spelling of 2025456400 in words is "two billion, twenty-five million, four hundred fifty-six thousand, four hundred".