2025838080 has 640 divisors, whose sum is σ = 8485171200. Its totient is φ = 448561152.

The previous prime is 2025838069. The next prime is 2025838081. The reversal of 2025838080 is 808385202.

2025838080 is a `hidden beast` number, since 20 + 258 + 380 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2025838081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25643481 + ... + 25643559.

It is an arithmetic number, because the mean of its divisors is an integer number (13258080).

Almost surely, 2^2025838080 is an apocalyptic number.

2025838080 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 2025838080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4242585600).

2025838080 is an abundant number, since it is smaller than the sum of its proper divisors (6459333120).

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

2025838080 is an equidigital number, since it uses as much as digits as its factorization.

2025838080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2025838080 is about 45009.3110367177. The cubic root of 2025838080 is about 1265.3235082131.

The spelling of 2025838080 in words is "two billion, twenty-five million, eight hundred thirty-eight thousand, eighty".