2112145400 has 96 divisors (see below), whose sum is σ = 5176677600. Its totient is φ = 800217600.

The previous prime is 2112145369. The next prime is 2112145403. The reversal of 2112145400 is 45412112.

It is a happy number.

It is a super-2 number, since 2×2112145400² = 8922316381482320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112145403) 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, 303965 + ... + 310835.

It is an arithmetic number, because the mean of its divisors is an integer number (53923725).

Almost surely, 2^2112145400 is an apocalyptic number.

2112145400 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 2112145400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2588338800).

2112145400 is an abundant number, since it is smaller than the sum of its proper divisors (3064532200).

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

2112145400 is a wasteful number, since it uses less digits than its factorization.

2112145400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6969 (or 6960 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 2112145400 is about 45958.0830757768. The cubic root of 2112145400 is about 1283.0431742199.

Adding to 2112145400 its reverse (45412112), we get a palindrome (2157557512).

The spelling of 2112145400 in words is "two billion, one hundred twelve million, one hundred forty-five thousand, four hundred".