2025100000 has 288 divisors, whose sum is σ = 6236600832. Its totient is φ = 628800000.

The previous prime is 2025099977. The next prime is 2025100001. The reversal of 2025100000 is 15202.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 2025100000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2025100001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7699869 + ... + 7700131.

It is an arithmetic number, because the mean of its divisors is an integer number (21654864).

Almost surely, 2^2025100000 is an apocalyptic number.

2025100000 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 2025100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3118300416).

2025100000 is an abundant number, since it is smaller than the sum of its proper divisors (4211500832).

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

2025100000 is an equidigital number, since it uses as much as digits as its factorization.

2025100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 2025100000 is about 45001.1110973940. Note that the first 3 decimals coincide. The cubic root of 2025100000 is about 1265.1698231077.

Adding to 2025100000 its reverse (15202), we get a palindrome (2025115202).

The spelling of 2025100000 in words is "two billion, twenty-five million, one hundred thousand".