2269216800 has 432 divisors, whose sum is σ = 8511205248. Its totient is φ = 567705600.

The previous prime is 2269216757. The next prime is 2269216801. The reversal of 2269216800 is 86129622.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (2269216801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11757504 + ... + 11757696.

It is an arithmetic number, because the mean of its divisors is an integer number (19701864).

Almost surely, 2^2269216800 is an apocalyptic number.

2269216800 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 2269216800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4255602624).

2269216800 is an abundant number, since it is smaller than the sum of its proper divisors (6241988448).

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

2269216800 is a wasteful number, since it uses less digits than its factorization.

2269216800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2269216800 is about 47636.2970853109. The cubic root of 2269216800 is about 1314.0906646364.

The spelling of 2269216800 in words is "two billion, two hundred sixty-nine million, two hundred sixteen thousand, eight hundred".