2269112320 has 192 divisors, whose sum is σ = 5747610960. Its totient is φ = 858783744.

The previous prime is 2269112269. The next prime is 2269112353. The reversal of 2269112320 is 232119622.

It can be written as a sum of positive squares in 8 ways, for example, as 1009714176 + 1259398144 = 31776^2 + 35488^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20080584 + ... + 20080696.

Almost surely, 2^2269112320 is an apocalyptic number.

2269112320 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 2269112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2873805480).

2269112320 is an abundant number, since it is smaller than the sum of its proper divisors (3478498640).

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

2269112320 is a wasteful number, since it uses less digits than its factorization.

2269112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 2269112320 is about 47635.2004299342. The cubic root of 2269112320 is about 1314.0704964004.

The spelling of 2269112320 in words is "two billion, two hundred sixty-nine million, one hundred twelve thousand, three hundred twenty".