2111163264 has 320 divisors, whose sum is σ = 7563177600. Its totient is φ = 571069440.

The previous prime is 2111163253. The next prime is 2111163277. The reversal of 2111163264 is 4623611112.

It is a happy number.

2111163264 is a `hidden beast` number, since 2 + 11 + 11 + 632 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1378179 + ... + 1379709.

It is an arithmetic number, because the mean of its divisors is an integer number (23634930).

Almost surely, 2^2111163264 is an apocalyptic number.

2111163264 is a gapful number since it is divisible by the number (24) 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 2111163264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3781588800).

2111163264 is an abundant number, since it is smaller than the sum of its proper divisors (5452014336).

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

2111163264 is a wasteful number, since it uses less digits than its factorization.

2111163264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583 (or 1562 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 2111163264 is about 45947.3967053630. The cubic root of 2111163264 is about 1282.8442740466.

Adding to 2111163264 its reverse (4623611112), we get a palindrome (6734774376).

The spelling of 2111163264 in words is "two billion, one hundred eleven million, one hundred sixty-three thousand, two hundred sixty-four".