2111341311040 has 112 divisors (see below), whose sum is σ = 5503133245680. Its totient is φ = 766792212480.

The previous prime is 2111341311029. The next prime is 2111341311047. The reversal of 2111341311040 is 401131431112.

It can be written as a sum of positive squares in 8 ways, for example, as 921461765184 + 1189879545856 = 959928^2 + 1090816^2 .

It is not an unprimeable number, because it can be changed into a prime (2111341311047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3906355 + ... + 4413874.

It is an arithmetic number, because the mean of its divisors is an integer number (49135118265).

Almost surely, 2^{2111341311040} is an apocalyptic number.

2111341311040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2111341311040 is an abundant number, since it is smaller than the sum of its proper divisors (3391791934640).

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

2111341311040 is a wasteful number, since it uses less digits than its factorization.

2111341311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8320320 (or 8320310 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 2111341311040 its reverse (401131431112), we get a palindrome (2512472742152).

The spelling of 2111341311040 in words is "two trillion, one hundred eleven billion, three hundred forty-one million, three hundred eleven thousand, forty".