2263492800 has 252 divisors, whose sum is σ = 8469431880. Its totient is φ = 571760640.

The previous prime is 2263492789. The next prime is 2263492843. The reversal of 2263492800 is 82943622.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 269464 + ... + 277736.

Almost surely, 2^2263492800 is an apocalyptic number.

2263492800 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 2263492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4234715940).

2263492800 is an abundant number, since it is smaller than the sum of its proper divisors (6205939080).

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

2263492800 is a wasteful number, since it uses less digits than its factorization.

2263492800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8320 (or 8302 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2263492800 is about 47576.1789134016. The cubic root of 2263492800 is about 1312.9848222508.

The spelling of 2263492800 in words is "two billion, two hundred sixty-three million, four hundred ninety-two thousand, eight hundred".