2111187032640 has 504 divisors, whose sum is σ = 8617789207872. Its totient is φ = 482553676800.

The previous prime is 2111187032579. The next prime is 2111187032651. The reversal of 2111187032640 is 462307811112.

2111187032640 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 1 + 8 + 7 + 0 + 3 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×2111187032640² (a number of 25 digits) contains 22 as substring.

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 = 2111187032595 and 2111187032604.

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 71 ways as a sum of consecutive naturals, for example, 14624815 + ... + 14768465.

Almost surely, 2^{2111187032640} is an apocalyptic number.

2111187032640 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 2111187032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4308894603936).

2111187032640 is an abundant number, since it is smaller than the sum of its proper divisors (6506602175232).

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

2111187032640 is an frugal number, since it uses more digits than its factorization.

2111187032640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143699 (or 143668 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 2111187032640 in words is "two trillion, one hundred eleven billion, one hundred eighty-seven million, thirty-two thousand, six hundred forty".