2112787200 has 216 divisors, whose sum is σ = 7383933648. Its totient is φ = 530186240.

The previous prime is 2112787169. The next prime is 2112787207. The reversal of 2112787200 is 27872112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2112787207) 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, 323164 + ... + 329636.

It is an arithmetic number, because the mean of its divisors is an integer number (34184878).

Almost surely, 2^2112787200 is an apocalyptic number.

2112787200 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 2112787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3691966824).

2112787200 is an abundant number, since it is smaller than the sum of its proper divisors (5271146448).

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

2112787200 is a wasteful number, since it uses less digits than its factorization.

2112787200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6519 (or 6500 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 2112787200 is about 45965.0649950590. The cubic root of 2112787200 is about 1283.1731169340.

The spelling of 2112787200 in words is "two billion, one hundred twelve million, seven hundred eighty-seven thousand, two hundred".