2111812560 has 800 divisors, whose sum is σ = 8983675008. Its totient is φ = 452874240.

The previous prime is 2111812523. The next prime is 2111812561. The reversal of 2111812560 is 652181112.

2111812560 is a `hidden beast` number, since 21 + 1 + 1 + 81 + 2 + 560 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111812561) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 39845494 + ... + 39845546.

Almost surely, 2^2111812560 is an apocalyptic number.

2111812560 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 2111812560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4491837504).

2111812560 is an abundant number, since it is smaller than the sum of its proper divisors (6871862448).

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

2111812560 is a wasteful number, since it uses less digits than its factorization.

2111812560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 2111812560 is about 45954.4618073153. The cubic root of 2111812560 is about 1282.9757750525.

Adding to 2111812560 its reverse (652181112), we get a palindrome (2763993672).

The spelling of 2111812560 in words is "two billion, one hundred eleven million, eight hundred twelve thousand, five hundred sixty".