2265343200 has 432 divisors, whose sum is σ = 8507955456. Its totient is φ = 587865600.

The previous prime is 2265343151. The next prime is 2265343219. The reversal of 2265343200 is 23435622.

2265343200 is a `hidden beast` number, since 2 + 2 + 653 + 4 + 3 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 71 ways as a sum of consecutive naturals, for example, 8359065 + ... + 8359335.

Almost surely, 2^2265343200 is an apocalyptic number.

2265343200 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 2265343200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4253977728).

2265343200 is an abundant number, since it is smaller than the sum of its proper divisors (6242612256).

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

2265343200 is a wasteful number, since it uses less digits than its factorization.

2265343200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2265343200 is about 47595.6216473742. The cubic root of 2265343200 is about 1313.3425121252.

Adding to 2265343200 its reverse (23435622), we get a palindrome (2288778822).

The spelling of 2265343200 in words is "two billion, two hundred sixty-five million, three hundred forty-three thousand, two hundred".