2263023502400 has 84 divisors (see below), whose sum is σ = 5625859315188. Its totient is φ = 895877283840.

The previous prime is 2263023502379. The next prime is 2263023502403. The reversal of 2263023502400 is 42053203622.

It can be written as a sum of positive squares in 6 ways, for example, as 34189489216 + 2228834013184 = 184904^2 + 1492928^2 .

It is not an unprimeable number, because it can be changed into a prime (2263023502403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7135469 + ... + 7445868.

It is an arithmetic number, because the mean of its divisors is an integer number (66974515657).

Almost surely, 2^{2263023502400} is an apocalyptic number.

2263023502400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2263023502400 is an abundant number, since it is smaller than the sum of its proper divisors (3362835812788).

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

2263023502400 is a wasteful number, since it uses less digits than its factorization.

2263023502400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14581456 (or 14581441 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

The spelling of 2263023502400 in words is "two trillion, two hundred sixty-three billion, twenty-three million, five hundred two thousand, four hundred".