2265342400 has 84 divisors (see below), whose sum is σ = 5603232888. Its totient is φ = 901411840.

The previous prime is 2265342371. The next prime is 2265342403. The reversal of 2265342400 is 42435622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2265342403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 311607 + ... + 318793.

Almost surely, 2^2265342400 is an apocalyptic number.

2265342400 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 2265342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2801616444).

2265342400 is an abundant number, since it is smaller than the sum of its proper divisors (3337890488).

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

2265342400 is a wasteful number, since it uses less digits than its factorization.

2265342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7406 (or 7391 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 2265342400 is about 47595.6132432391. The cubic root of 2265342400 is about 1313.3423575240.

The spelling of 2265342400 in words is "two billion, two hundred sixty-five million, three hundred forty-two thousand, four hundred".