2025332400 has 480 divisors, whose sum is σ = 8462458368. Its totient is φ = 401817600.

The previous prime is 2025332389. The next prime is 2025332483. The reversal of 2025332400 is 42335202.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1855855 + ... + 1856945.

Almost surely, 2^2025332400 is an apocalyptic number.

2025332400 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 2025332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4231229184).

2025332400 is an abundant number, since it is smaller than the sum of its proper divisors (6437125968).

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

2025332400 is a wasteful number, since it uses less digits than its factorization.

2025332400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 2025332400 is about 45003.6931817823. The cubic root of 2025332400 is about 1265.2182181204.

Adding to 2025332400 its reverse (42335202), we get a palindrome (2067667602).

The spelling of 2025332400 in words is "two billion, twenty-five million, three hundred thirty-two thousand, four hundred".