2025664160 has 96 divisors (see below), whose sum is σ = 5293248912. Its totient is φ = 727695360.

The previous prime is 2025664153. The next prime is 2025664171. The reversal of 2025664160 is 614665202.

It can be written as a sum of positive squares in 8 ways, for example, as 1463215504 + 562448656 = 38252^2 + 23716^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63800 + ... + 90120.

Almost surely, 2^2025664160 is an apocalyptic number.

2025664160 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 2025664160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2646624456).

2025664160 is an abundant number, since it is smaller than the sum of its proper divisors (3267584752).

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

2025664160 is a wasteful number, since it uses less digits than its factorization.

2025664160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26386 (or 26378 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 2025664160 is about 45007.3789505677. The cubic root of 2025664160 is about 1265.2872974608.

The spelling of 2025664160 in words is "two billion, twenty-five million, six hundred sixty-four thousand, one hundred sixty".