2025062400 has 228 divisors, whose sum is σ = 6761205152. Its totient is φ = 534773760.

The previous prime is 2025062387. The next prime is 2025062437. The reversal of 2025062400 is 42605202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19660749 + ... + 19660851.

Almost surely, 2^2025062400 is an apocalyptic number.

2025062400 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 2025062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3380602576).

2025062400 is an abundant number, since it is smaller than the sum of its proper divisors (4736142752).

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

2025062400 is an frugal number, since it uses more digits than its factorization.

2025062400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2025062400 is about 45000.6933279922. The cubic root of 2025062400 is about 1265.1619929298.

Adding to 2025062400 its reverse (42605202), we get a palindrome (2067667602).

The spelling of 2025062400 in words is "two billion, twenty-five million, sixty-two thousand, four hundred".