2265840000 has 320 divisors, whose sum is σ = 8364510000. Its totient is φ = 603648000.

The previous prime is 2265839999. The next prime is 2265840011. The reversal of 2265840000 is 485622.

2265840000 is a `hidden beast` number, since 2 + 2 + 658 + 4 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2159476 + ... + 2160524.

Almost surely, 2^2265840000 is an apocalyptic number.

2265840000 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 2265840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4182255000).

2265840000 is an abundant number, since it is smaller than the sum of its proper divisors (6098670000).

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

2265840000 is an equidigital number, since it uses as much as digits as its factorization.

2265840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2265840000 is about 47600.8403287169. The cubic root of 2265840000 is about 1313.4385124236.

The spelling of 2265840000 in words is "two billion, two hundred sixty-five million, eight hundred forty thousand".