2025612600 has 144 divisors (see below), whose sum is σ = 6902396760. Its totient is φ = 491040000.

The previous prime is 2025612583. The next prime is 2025612607. The reversal of 2025612600 is 62165202.

2025612600 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2025612607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58650 + ... + 86550.

Almost surely, 2^2025612600 is an apocalyptic number.

2025612600 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 2025612600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3451198380).

2025612600 is an abundant number, since it is smaller than the sum of its proper divisors (4876784160).

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

2025612600 is a wasteful number, since it uses less digits than its factorization.

2025612600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27942 (or 27922 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2025612600 is about 45006.8061519588. The cubic root of 2025612600 is about 1265.2765620902.

Adding to 2025612600 its reverse (62165202), we get a palindrome (2087777802).

The spelling of 2025612600 in words is "two billion, twenty-five million, six hundred twelve thousand, six hundred".