2269879200 has 360 divisors, whose sum is σ = 8643384288. Its totient is φ = 578603520.

The previous prime is 2269879181. The next prime is 2269879201. The reversal of 2269879200 is 29789622.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2269879201) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1489639 + ... + 1491161.

Almost surely, 2^2269879200 is an apocalyptic number.

2269879200 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 2269879200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4321692144).

2269879200 is an abundant number, since it is smaller than the sum of its proper divisors (6373505088).

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

2269879200 is a wasteful number, since it uses less digits than its factorization.

2269879200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 2269879200 is about 47643.2492594701. The cubic root of 2269879200 is about 1314.2185162330.

The spelling of 2269879200 in words is "two billion, two hundred sixty-nine million, eight hundred seventy-nine thousand, two hundred".