2025664040 has 64 divisors (see below), whose sum is σ = 4682664000. Its totient is φ = 788175360.

The previous prime is 2025664037. The next prime is 2025664063. The reversal of 2025664040 is 404665202.

It is a junction number, because it is equal to n+sod(n) for n = 2025663994 and 2025664012.

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, 619931 + ... + 623189.

It is an arithmetic number, because the mean of its divisors is an integer number (73166625).

Almost surely, 2^2025664040 is an apocalyptic number.

2025664040 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 2025664040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2341332000).

2025664040 is an abundant number, since it is smaller than the sum of its proper divisors (2656999960).

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

2025664040 is a wasteful number, since it uses less digits than its factorization.

2025664040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3690 (or 3686 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 2025664040 is about 45007.3776174529. The cubic root of 2025664040 is about 1265.2872724757.

The spelling of 2025664040 in words is "two billion, twenty-five million, six hundred sixty-four thousand, forty".