2112070400 has 216 divisors, whose sum is σ = 6006907200. Its totient is φ = 727142400.

The previous prime is 2112070399. The next prime is 2112070403. The reversal of 2112070400 is 40702112.

It is not an unprimeable number, because it can be changed into a prime (2112070403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1336811 + ... + 1338389.

Almost surely, 2^2112070400 is an apocalyptic number.

2112070400 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 2112070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3003453600).

2112070400 is an abundant number, since it is smaller than the sum of its proper divisors (3894836800).

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

2112070400 is a wasteful number, since it uses less digits than its factorization.

2112070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 2112070400 is about 45957.2671076077. The cubic root of 2112070400 is about 1283.0279875481.

Adding to 2112070400 its reverse (40702112), we get a palindrome (2152772512).

The spelling of 2112070400 in words is "two billion, one hundred twelve million, seventy thousand, four hundred".