2111314200 has 192 divisors, whose sum is σ = 6937056000. Its totient is φ = 529712640.

The previous prime is 2111314193. The next prime is 2111314211. The reversal of 2111314200 is 24131112.

It is a super-2 number, since 2×2111314200² = 8915295302243280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2111314200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1903246 + ... + 1904354.

It is an arithmetic number, because the mean of its divisors is an integer number (36130500).

Almost surely, 2^2111314200 is an apocalyptic number.

2111314200 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 2111314200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3468528000).

2111314200 is an abundant number, since it is smaller than the sum of its proper divisors (4825741800).

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

2111314200 is a wasteful number, since it uses less digits than its factorization.

2111314200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 2111314200 is about 45949.0391629684. The cubic root of 2111314200 is about 1282.8748453076.

Adding to 2111314200 its reverse (24131112), we get a palindrome (2135445312).

The spelling of 2111314200 in words is "two billion, one hundred eleven million, three hundred fourteen thousand, two hundred".