2025810000 has 500 divisors, whose sum is σ = 7628498724. Its totient is φ = 518400000.

The previous prime is 2025809987. The next prime is 2025810019. The reversal of 2025810000 is 185202.

2025810000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 2012060736 + 13749264 = 44856^2 + 3708^2 .

It is a tau number, because it is divible by the number of its divisors (500).

It is a super-2 number, since 2×2025810000² = 8207812312200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 33209970 + ... + 33210030.

Almost surely, 2^2025810000 is an apocalyptic number.

2025810000 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 2025810000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3814249362).

2025810000 is an abundant number, since it is smaller than the sum of its proper divisors (5602688724).

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

2025810000 is an equidigital number, since it uses as much as digits as its factorization.

2025810000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2025810000 is about 45008.9991001800. Note that the first 3 decimals coincide. The cubic root of 2025810000 is about 1265.3176619991.

Adding to 2025810000 its reverse (185202), we get a palindrome (2025995202).

It can be divided in two parts, 2025 and 810000, that multiplied together give a square (1640250000 = 40500²).

The spelling of 2025810000 in words is "two billion, twenty-five million, eight hundred ten thousand".