2136224112 has 160 divisors (see below), whose sum is σ = 6426136320. Its totient is φ = 604661760.

The previous prime is 2136224099. The next prime is 2136224159. The reversal of 2136224112 is 2114226312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 730878 + ... + 733794.

It is an arithmetic number, because the mean of its divisors is an integer number (40163352).

Almost surely, 2^2136224112 is an apocalyptic number.

2136224112 is a gapful number since it is divisible by the number (22) 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 2136224112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3213068160).

2136224112 is an abundant number, since it is smaller than the sum of its proper divisors (4289912208).

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

2136224112 is a wasteful number, since it uses less digits than its factorization.

2136224112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3031 (or 3025 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 2136224112 is about 46219.3045382554. The cubic root of 2136224112 is about 1287.9003787255.

The spelling of 2136224112 in words is "two billion, one hundred thirty-six million, two hundred twenty-four thousand, one hundred twelve".