2265201660 has 192 divisors, whose sum is σ = 6931169280. Its totient is φ = 550851840.

The previous prime is 2265201643. The next prime is 2265201733. The reversal of 2265201660 is 661025622.

2265201660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2265201660² = 10262277120933511200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3589545 + ... + 3590175.

It is an arithmetic number, because the mean of its divisors is an integer number (36099840).

Almost surely, 2^2265201660 is an apocalyptic number.

2265201660 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 2265201660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3465584640).

2265201660 is an abundant number, since it is smaller than the sum of its proper divisors (4665967620).

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

2265201660 is a wasteful number, since it uses less digits than its factorization.

2265201660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 2265201660 is about 47594.1347226735. The cubic root of 2265201660 is about 1313.3151587465.

The spelling of 2265201660 in words is "two billion, two hundred sixty-five million, two hundred one thousand, six hundred sixty".