2025630000 has 300 divisors, whose sum is σ = 7206355728. Its totient is φ = 530880000.

The previous prime is 2025629999. The next prime is 2025630011. The reversal of 2025630000 is 365202.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6389842 + ... + 6390158.

Almost surely, 2^2025630000 is an apocalyptic number.

2025630000 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 2025630000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3603177864).

2025630000 is an abundant number, since it is smaller than the sum of its proper divisors (5180725728).

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

2025630000 is a wasteful number, since it uses less digits than its factorization.

2025630000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2025630000 is about 45006.9994556402. Note that the first 3 decimals coincide. The cubic root of 2025630000 is about 1265.2801849858.

Adding to 2025630000 its reverse (365202), we get a palindrome (2025995202).

It can be divided in two parts, 2025 and 630000, that added together give a square (632025 = 795²).

The spelling of 2025630000 in words is "two billion, twenty-five million, six hundred thirty thousand".