2265557120 has 64 divisors (see below), whose sum is σ = 5422515840. Its totient is φ = 905149440.

The previous prime is 2265557113. The next prime is 2265557137. The reversal of 2265557120 is 217555622.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 747929 + ... + 750951.

It is an arithmetic number, because the mean of its divisors is an integer number (84726810).

Almost surely, 2^2265557120 is an apocalyptic number.

2265557120 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 2265557120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2711257920).

2265557120 is an abundant number, since it is smaller than the sum of its proper divisors (3156958720).

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

2265557120 is a wasteful number, since it uses less digits than its factorization.

2265557120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4213 (or 4201 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 35.

The square root of 2265557120 is about 47597.8688598555. The cubic root of 2265557120 is about 1313.3838511722.

The spelling of 2265557120 in words is "two billion, two hundred sixty-five million, five hundred fifty-seven thousand, one hundred twenty".