2640138890120 has 128 divisors (see below), whose sum is σ = 6131353536000. Its totient is φ = 1022555003904.

The previous prime is 2640138890099. The next prime is 2640138890141. The reversal of 2640138890120 is 210988310462.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2640138890099) and next prime (2640138890141).

It is a super-2 number, since 2×2640138890120² (a number of 26 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 103835729 + ... + 103861151.

It is an arithmetic number, because the mean of its divisors is an integer number (47901199500).

Almost surely, 2^{2640138890120} is an apocalyptic number.

2640138890120 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 2640138890120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3065676768000).

2640138890120 is an abundant number, since it is smaller than the sum of its proper divisors (3491214645880).

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

2640138890120 is a wasteful number, since it uses less digits than its factorization.

2640138890120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25999 (or 25995 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 44.

The spelling of 2640138890120 in words is "two trillion, six hundred forty billion, one hundred thirty-eight million, eight hundred ninety thousand, one hundred twenty".