2111331040 has 96 divisors (see below), whose sum is σ = 6139143360. Its totient is φ = 668196864.

The previous prime is 2111331029. The next prime is 2111331041. The reversal of 2111331040 is 401331112.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111331041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57945 + ... + 87064.

It is an arithmetic number, because the mean of its divisors is an integer number (63949410).

Almost surely, 2^2111331040 is an apocalyptic number.

2111331040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2111331040 is an abundant number, since it is smaller than the sum of its proper divisors (4027812320).

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

2111331040 is a wasteful number, since it uses less digits than its factorization.

2111331040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145044 (or 145036 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 2111331040 is about 45949.2224090898. Note that the first 3 decimals coincide. The cubic root of 2111331040 is about 1282.8782560671.

Adding to 2111331040 its product of nonzero digits (72), we get a palindrome (2111331112).

Adding to 2111331040 its reverse (401331112), we get a palindrome (2512662152).

The spelling of 2111331040 in words is "two billion, one hundred eleven million, three hundred thirty-one thousand, forty".