2269051200 has 1008 divisors, whose sum is σ = 9905366016. Its totient is φ = 486604800.

The previous prime is 2269051181. The next prime is 2269051207. The reversal of 2269051200 is 21509622.

2269051200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2269051207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 73195185 + ... + 73195215.

It is an arithmetic number, because the mean of its divisors is an integer number (9826752).

Almost surely, 2^2269051200 is an apocalyptic number.

2269051200 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 2269051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4952683008).

2269051200 is an abundant number, since it is smaller than the sum of its proper divisors (7636314816).

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

2269051200 is a wasteful number, since it uses less digits than its factorization.

2269051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2269051200 is about 47634.5588832310. The cubic root of 2269051200 is about 1314.0586978498.

The spelling of 2269051200 in words is "two billion, two hundred sixty-nine million, fifty-one thousand, two hundred".