2525258880 has 576 divisors, whose sum is σ = 9745543080. Its totient is φ = 601620480.

The previous prime is 2525258837. The next prime is 2525258887. The reversal of 2525258880 is 888525252.

It can be written as a sum of positive squares in 12 ways, for example, as 718668864 + 1806590016 = 26808^2 + 42504^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×2525258880² = 12753864822037708800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2525258887) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 61591660 + ... + 61591700.

Almost surely, 2^2525258880 is an apocalyptic number.

2525258880 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 2525258880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4872771540).

2525258880 is an abundant number, since it is smaller than the sum of its proper divisors (7220284200).

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

2525258880 is a wasteful number, since it uses less digits than its factorization.

2525258880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 45.

The square root of 2525258880 is about 50251.9539918599. The cubic root of 2525258880 is about 1361.7643766878.

The spelling of 2525258880 in words is "two billion, five hundred twenty-five million, two hundred fifty-eight thousand, eight hundred eighty".