2265157440 has 896 divisors, whose sum is σ = 10213969920. Its totient is φ = 459841536.

The previous prime is 2265157387. The next prime is 2265157459. The reversal of 2265157440 is 447515622.

It is a happy number.

2265157440 is a `hidden beast` number, since 2 + 2 + 65 + 157 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2265157395 and 2265157404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33808287 + ... + 33808353.

It is an arithmetic number, because the mean of its divisors is an integer number (11399520).

Almost surely, 2^2265157440 is an apocalyptic number.

2265157440 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 2265157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5106984960).

2265157440 is an abundant number, since it is smaller than the sum of its proper divisors (7948812480).

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

2265157440 is a wasteful number, since it uses less digits than its factorization.

2265157440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 2265157440 is about 47593.6701673657. The cubic root of 2265157440 is about 1313.3066127563.

The spelling of 2265157440 in words is "two billion, two hundred sixty-five million, one hundred fifty-seven thousand, four hundred forty".