2263769800 has 48 divisors (see below), whose sum is σ = 5266420740. Its totient is φ = 904965120.

The previous prime is 2263769773. The next prime is 2263769819. The reversal of 2263769800 is 89673622.

It can be written as a sum of positive squares in 6 ways, for example, as 857669796 + 1406100004 = 29286^2 + 37498^2 .

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 588684 + ... + 592516.

Almost surely, 2^2263769800 is an apocalyptic number.

2263769800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2263769800 is an abundant number, since it is smaller than the sum of its proper divisors (3002650940).

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

2263769800 is a wasteful number, since it uses less digits than its factorization.

2263769800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6802 (or 6793 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 2263769800 is about 47579.0899450588. The cubic root of 2263769800 is about 1313.0383798854.

The spelling of 2263769800 in words is "two billion, two hundred sixty-three million, seven hundred sixty-nine thousand, eight hundred".