2263042800 has 150 divisors (see below), whose sum is σ = 8121995288. Its totient is φ = 603469440.

The previous prime is 2263042799. The next prime is 2263042867. The reversal of 2263042800 is 82403622.

2263042800 is a `hidden beast` number, since 2 + 2 + 630 + 4 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2524 + ... + 67323.

Almost surely, 2^2263042800 is an apocalyptic number.

2263042800 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 2263042800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4060997644).

2263042800 is an abundant number, since it is smaller than the sum of its proper divisors (5858952488).

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

2263042800 is a wasteful number, since it uses less digits than its factorization.

2263042800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69877 (or 69857 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2263042800 is about 47571.4494208449. The cubic root of 2263042800 is about 1312.8978059473.

The spelling of 2263042800 in words is "two billion, two hundred sixty-three million, forty-two thousand, eight hundred".