2156112000 has 1024 divisors, whose sum is σ = 9776332800. Its totient is φ = 456192000.

The previous prime is 2156111941. The next prime is 2156112011. The reversal of 2156112000 is 2116512.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 69551985 + ... + 69552015.

It is an arithmetic number, because the mean of its divisors is an integer number (9547200).

Almost surely, 2^2156112000 is an apocalyptic number.

2156112000 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 2156112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4888166400).

2156112000 is an abundant number, since it is smaller than the sum of its proper divisors (7620220800).

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

2156112000 is a wasteful number, since it uses less digits than its factorization.

2156112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 2156112000 is about 46433.9530946914. The cubic root of 2156112000 is about 1291.8847517069.

Adding to 2156112000 its reverse (2116512), we get a palindrome (2158228512).

The spelling of 2156112000 in words is "two billion, one hundred fifty-six million, one hundred twelve thousand".