2140082291904 has 112 divisors (see below), whose sum is σ = 5772338000640. Its totient is φ = 699512785920.

The previous prime is 2140082291869. The next prime is 2140082291909. The reversal of 2140082291904 is 4091922800412.

It is a super-2 number, since 2×2140082291904² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2140082291909) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 18574827 + ... + 18689685.

Almost surely, 2^{2140082291904} is an apocalyptic number.

2140082291904 is a gapful number since it is divisible by the number (24) 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 2140082291904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2886169000320).

2140082291904 is an abundant number, since it is smaller than the sum of its proper divisors (3632255708736).

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

2140082291904 is a wasteful number, since it uses less digits than its factorization.

2140082291904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116758 (or 116748 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 2140082291904 in words is "two trillion, one hundred forty billion, eighty-two million, two hundred ninety-one thousand, nine hundred four".