2114060120640 has 336 divisors, whose sum is σ = 7938112950768. Its totient is φ = 513254817792.

The previous prime is 2114060120609. The next prime is 2114060120651. The reversal of 2114060120640 is 460210604112.

2114060120640 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 0 + 6 + 0 + 12 + 0 + 640 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 323751896064 + 1790308224576 = 568992^2 + 1338024^2 .

It is a super-2 number, since 2×2114060120640² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2346372 + ... + 3119868.

It is an arithmetic number, because the mean of its divisors is an integer number (23625336163).

Almost surely, 2^{2114060120640} is an apocalyptic number.

2114060120640 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 2114060120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3969056475384).

2114060120640 is an abundant number, since it is smaller than the sum of its proper divisors (5824052830128).

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

2114060120640 is a wasteful number, since it uses less digits than its factorization.

2114060120640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773606 (or 773593 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 2114060120640 its reverse (460210604112), we get a palindrome (2574270724752).

The spelling of 2114060120640 in words is "two trillion, one hundred fourteen billion, sixty million, one hundred twenty thousand, six hundred forty".