2025553600 has 168 divisors, whose sum is σ = 5728744448. Its totient is φ = 690508800.

The previous prime is 2025553573. The next prime is 2025553639. The reversal of 2025553600 is 63555202.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2497195 + ... + 2498005.

Almost surely, 2^2025553600 is an apocalyptic number.

2025553600 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 2025553600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2864372224).

2025553600 is an abundant number, since it is smaller than the sum of its proper divisors (3703190848).

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

2025553600 is a wasteful number, since it uses less digits than its factorization.

2025553600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 28.

The square root of 2025553600 is about 45006.1506907667. The cubic root of 2025553600 is about 1265.2642774045.

The spelling of 2025553600 in words is "two billion, twenty-five million, five hundred fifty-three thousand, six hundred".