2263368600 has 144 divisors (see below), whose sum is σ = 7661771520. Its totient is φ = 598752000.

The previous prime is 2263368589. The next prime is 2263368623. The reversal of 2263368600 is 68633622.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 223650 + ... + 233550.

Almost surely, 2^2263368600 is an apocalyptic number.

2263368600 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 2263368600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3830885760).

2263368600 is an abundant number, since it is smaller than the sum of its proper divisors (5398402920).

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

2263368600 is a wasteful number, since it uses less digits than its factorization.

2263368600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10050 (or 10038 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 2263368600 is about 47574.8736204312. The cubic root of 2263368600 is about 1312.9608069034.

The spelling of 2263368600 in words is "two billion, two hundred sixty-three million, three hundred sixty-eight thousand, six hundred".