2111171040 has 480 divisors, whose sum is σ = 8298702720. Its totient is φ = 501120000.

The previous prime is 2111171033. The next prime is 2111171063. The reversal of 2111171040 is 401711112.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8410915 + ... + 8411165.

It is an arithmetic number, because the mean of its divisors is an integer number (17288964).

Almost surely, 2^2111171040 is an apocalyptic number.

2111171040 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 2111171040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4149351360).

2111171040 is an abundant number, since it is smaller than the sum of its proper divisors (6187531680).

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

2111171040 is a wasteful number, since it uses less digits than its factorization.

2111171040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

The square root of 2111171040 is about 45947.4813237897. The cubic root of 2111171040 is about 1282.8458490685.

Adding to 2111171040 its reverse (401711112), we get a palindrome (2512882152).

The spelling of 2111171040 in words is "two billion, one hundred eleven million, one hundred seventy-one thousand, forty".