2112000000 has 364 divisors, whose sum is σ = 7678964208. Its totient is φ = 512000000.

The previous prime is 2111999977. The next prime is 2112000017. The reversal of 2112000000 is 2112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 191999995 + ... + 192000005.

Almost surely, 2^2112000000 is an apocalyptic number.

2112000000 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 2112000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3839482104).

2112000000 is an abundant number, since it is smaller than the sum of its proper divisors (5566964208).

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

2112000000 is an frugal number, since it uses more digits than its factorization.

2112000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 2112000000 is about 45956.5011723042. The cubic root of 2112000000 is about 1283.0137319983.

Adding to 2112000000 its reverse (2112), we get a palindrome (2112002112).

Multiplying 2112000000 by its reverse (2112), we get a square (4460544000000 = 2112000²).

2112000000 divided by its reverse (2112) gives a 6-th power (1000000 = 10⁶).

It can be divided in two parts, 21 and 12000000, that added together give a palindrome (12000021).

The spelling of 2112000000 in words is "two billion, one hundred twelve million", and thus it is an aban number.