2111011140 has 288 divisors, whose sum is σ = 7124544000. Its totient is φ = 465454080.

The previous prime is 2111011129. The next prime is 2111011141. The reversal of 2111011140 is 411101112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2111011141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14167786 + ... + 14167934.

It is an arithmetic number, because the mean of its divisors is an integer number (24738000).

Almost surely, 2^2111011140 is an apocalyptic number.

2111011140 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 2111011140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3562272000).

2111011140 is an abundant number, since it is smaller than the sum of its proper divisors (5013532860).

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

2111011140 is a wasteful number, since it uses less digits than its factorization.

2111011140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

The square root of 2111011140 is about 45945.7412607523. The cubic root of 2111011140 is about 1282.8134606884.

Adding to 2111011140 its reverse (411101112), we get a palindrome (2522112252).

The spelling of 2111011140 in words is "two billion, one hundred eleven million, eleven thousand, one hundred forty".