2263236800 has 168 divisors, whose sum is σ = 6340522752. Its totient is φ = 787072000.

The previous prime is 2263236791. The next prime is 2263236847. The reversal of 2263236800 is 86323622.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 402005 + ... + 407595.

Almost surely, 2^2263236800 is an apocalyptic number.

2263236800 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 2263236800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3170261376).

2263236800 is an abundant number, since it is smaller than the sum of its proper divisors (4077285952).

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

2263236800 is a wasteful number, since it uses less digits than its factorization.

2263236800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5647 (or 5632 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 2263236800 is about 47573.4884152928. The cubic root of 2263236800 is about 1312.9353210570.

The spelling of 2263236800 in words is "two billion, two hundred sixty-three million, two hundred thirty-six thousand, eight hundred".