2111535205344 has 72 divisors (see below), whose sum is σ = 6007481992512. Its totient is φ = 703516423680.

The previous prime is 2111535205319. The next prime is 2111535205349. The reversal of 2111535205344 is 4435025351112.

2111535205344 is a `hidden beast` number, since 2 + 1 + 11 + 535 + 20 + 53 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2111535205299 and 2111535205308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111535205349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1093437 + ... + 2327804.

It is an arithmetic number, because the mean of its divisors is an integer number (83437249896).

Almost surely, 2^{2111535205344} is an apocalyptic number.

2111535205344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2111535205344 is an abundant number, since it is smaller than the sum of its proper divisors (3895946787168).

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

2111535205344 is a wasteful number, since it uses less digits than its factorization.

2111535205344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3423400 (or 3423389 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 2111535205344 in words is "two trillion, one hundred eleven billion, five hundred thirty-five million, two hundred five thousand, three hundred forty-four".