2025668736 has 640 divisors, whose sum is σ = 7879132800. Its totient is φ = 501645312.

The previous prime is 2025668731. The next prime is 2025668741. The reversal of 2025668736 is 6378665202.

It is a happy number.

2025668736 is a `hidden beast` number, since 2 + 0 + 2 + 566 + 87 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2025668731) and next prime (2025668741).

It is a junction number, because it is equal to n+sod(n) for n = 2025668691 and 2025668700.

It is not an unprimeable number, because it can be changed into a prime (2025668731) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17926216 + ... + 17926328.

It is an arithmetic number, because the mean of its divisors is an integer number (12311145).

Almost surely, 2^2025668736 is an apocalyptic number.

2025668736 is a gapful number since it is divisible by the number (26) 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 2025668736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3939566400).

2025668736 is an abundant number, since it is smaller than the sum of its proper divisors (5853464064).

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

2025668736 is a wasteful number, since it uses less digits than its factorization.

2025668736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 2025668736 is about 45007.4297866474. The cubic root of 2025668736 is about 1265.2882502266.

It can be divided in two parts, 2025 and 668736, that added together give a square (670761 = 819²).

The spelling of 2025668736 in words is "two billion, twenty-five million, six hundred sixty-eight thousand, seven hundred thirty-six".