2025509760 has 256 divisors, whose sum is σ = 7217683200. Its totient is φ = 536832000.

The previous prime is 2025509753. The next prime is 2025509771. The reversal of 2025509760 is 679055202.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4337047 + ... + 4337513.

It is an arithmetic number, because the mean of its divisors is an integer number (28194075).

Almost surely, 2^2025509760 is an apocalyptic number.

2025509760 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 2025509760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3608841600).

2025509760 is an abundant number, since it is smaller than the sum of its proper divisors (5192173440).

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

2025509760 is a wasteful number, since it uses less digits than its factorization.

2025509760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 2025509760 is about 45005.6636435905. The cubic root of 2025509760 is about 1265.2551491040.

The spelling of 2025509760 in words is "two billion, twenty-five million, five hundred nine thousand, seven hundred sixty".