2263800 has 192 divisors, whose sum is σ = 8928000. Its totient is φ = 470400.

The previous prime is 2263787. The next prime is 2263801. The reversal of 2263800 is 83622.

2263800 = T₄₁ + T₄₂ + ... + T₂₃₈.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2263801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205795 + ... + 205805.

It is an arithmetic number, because the mean of its divisors is an integer number (46500).

2^2263800 is an apocalyptic number.

2263800 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 2263800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4464000).

2263800 is an abundant number, since it is smaller than the sum of its proper divisors (6664200).

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

2263800 is a wasteful number, since it uses less digits than its factorization.

2263800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2263800 is about 1504.5929682143. The cubic root of 2263800 is about 131.3044218757.

The spelling of 2263800 in words is "two million, two hundred sixty-three thousand, eight hundred".