2111133486240 has 576 divisors, whose sum is σ = 8040818056320. Its totient is φ = 516917329920.

The previous prime is 2111133486227. The next prime is 2111133486251. The reversal of 2111133486240 is 426843311112.

2111133486240 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 1 + 334 + 86 + 240 = 666.

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 = 2111133486195 and 2111133486204.

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 95 ways as a sum of consecutive naturals, for example, 51167059 + ... + 51208301.

It is an arithmetic number, because the mean of its divisors is an integer number (13959753570).

Almost surely, 2^{2111133486240} is an apocalyptic number.

2111133486240 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 2111133486240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4020409028160).

2111133486240 is an abundant number, since it is smaller than the sum of its proper divisors (5929684570080).

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

2111133486240 is a wasteful number, since it uses less digits than its factorization.

2111133486240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41342 (or 41311 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 2111133486240 its reverse (426843311112), we get a palindrome (2537976797352).

The spelling of 2111133486240 in words is "two trillion, one hundred eleven billion, one hundred thirty-three million, four hundred eighty-six thousand, two hundred forty".