2025703680 has 1152 divisors, whose sum is σ = 9494102016. Its totient is φ = 353894400.

The previous prime is 2025703657. The next prime is 2025703733. The reversal of 2025703680 is 863075202.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 65345265 + ... + 65345295.

It is an arithmetic number, because the mean of its divisors is an integer number (8241408).

Almost surely, 2^2025703680 is an apocalyptic number.

2025703680 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 2025703680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4747051008).

2025703680 is an abundant number, since it is smaller than the sum of its proper divisors (7468398336).

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

2025703680 is a wasteful number, since it uses less digits than its factorization.

2025703680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 2025703680 is about 45007.8179875452. The cubic root of 2025703680 is about 1265.2955258450.

Adding to 2025703680 its reverse (863075202), we get a palindrome (2888778882).

The spelling of 2025703680 in words is "two billion, twenty-five million, seven hundred three thousand, six hundred eighty".