2264069160 has 96 divisors (see below), whose sum is σ = 7370873640. Its totient is φ = 602714112.

The previous prime is 2264069111. The next prime is 2264069161. The reversal of 2264069160 is 619604622.

2264069160 is a `hidden beast` number, since 2 + 2 + 640 + 6 + 9 + 1 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1414812996 + 849256164 = 37614^2 + 29142^2 .

It is a super-2 number, since 2×2264069160² = 10252018322526211200, which contains 22 as substring.

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 (2264069161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217024 + ... + 227216.

Almost surely, 2^2264069160 is an apocalyptic number.

2264069160 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 2264069160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3685436820).

2264069160 is an abundant number, since it is smaller than the sum of its proper divisors (5106804480).

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

2264069160 is a wasteful number, since it uses less digits than its factorization.

2264069160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10827 (or 10820 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2264069160 is about 47582.2357608383. The cubic root of 2264069160 is about 1313.0962558885.

The spelling of 2264069160 in words is "two billion, two hundred sixty-four million, sixty-nine thousand, one hundred sixty".