2269905120 has 480 divisors, whose sum is σ = 9273470976. Its totient is φ = 512179200.

The previous prime is 2269905103. The next prime is 2269905133. The reversal of 2269905120 is 215099622.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11884225 + ... + 11884415.

Almost surely, 2^2269905120 is an apocalyptic number.

2269905120 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 2269905120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4636735488).

2269905120 is an abundant number, since it is smaller than the sum of its proper divisors (7003565856).

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

2269905120 is a wasteful number, since it uses less digits than its factorization.

2269905120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 2269905120 is about 47643.5212804427. The cubic root of 2269905120 is about 1314.2235186159.

The spelling of 2269905120 in words is "two billion, two hundred sixty-nine million, nine hundred five thousand, one hundred twenty".