2265753600 has 576 divisors, whose sum is σ = 9140040000. Its totient is φ = 545587200.

The previous prime is 2265753593. The next prime is 2265753613. The reversal of 2265753600 is 63575622.

It is a happy number.

2265753600 is a `hidden beast` number, since 2 + 26 + 575 + 3 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15206326 + ... + 15206474.

It is an arithmetic number, because the mean of its divisors is an integer number (15868125).

Almost surely, 2^2265753600 is an apocalyptic number.

2265753600 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 2265753600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4570020000).

2265753600 is an abundant number, since it is smaller than the sum of its proper divisors (6874286400).

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

2265753600 is a wasteful number, since it uses less digits than its factorization.

2265753600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 2265753600 is about 47599.9327730618. The cubic root of 2265753600 is about 1313.4218177276.

The spelling of 2265753600 in words is "two billion, two hundred sixty-five million, seven hundred fifty-three thousand, six hundred".