2111140800 has 168 divisors, whose sum is σ = 7696047600. Its totient is φ = 562959360.

The previous prime is 2111140793. The next prime is 2111140807. The reversal of 2111140800 is 80411112.

It is an interprime number because it is at equal distance from previous prime (2111140793) and next prime (2111140807).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111140807) 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, 18766 + ... + 67634.

Almost surely, 2^2111140800 is an apocalyptic number.

2111140800 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 2111140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3848023800).

2111140800 is an abundant number, since it is smaller than the sum of its proper divisors (5584906800).

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

2111140800 is a wasteful number, since it uses less digits than its factorization.

2111140800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48900 (or 48879 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 2111140800 is about 45947.1522512549. The cubic root of 2111140800 is about 1282.8397239618.

Adding to 2111140800 its reverse (80411112), we get a palindrome (2191551912).

The spelling of 2111140800 in words is "two billion, one hundred eleven million, one hundred forty thousand, eight hundred".