2114239641840 has 160 divisors (see below), whose sum is σ = 7287093864000. Its totient is φ = 563432371200.

The previous prime is 2114239641821. The next prime is 2114239641863. The reversal of 2114239641840 is 481469324112.

2114239641840 is a `hidden beast` number, since 2 + 1 + 142 + 3 + 96 + 418 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3029890 + ... + 3661790.

It is an arithmetic number, because the mean of its divisors is an integer number (45544336650).

Almost surely, 2^{2114239641840} is an apocalyptic number.

2114239641840 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 2114239641840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3643546932000).

2114239641840 is an abundant number, since it is smaller than the sum of its proper divisors (5172854222160).

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

2114239641840 is a wasteful number, since it uses less digits than its factorization.

2114239641840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633472 (or 633460 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 2114239641840 in words is "two trillion, one hundred fourteen billion, two hundred thirty-nine million, six hundred forty-one thousand, eight hundred forty".