2140318752768 has 672 divisors, whose sum is σ = 7568489897280. Its totient is φ = 568873451520.

The previous prime is 2140318752763. The next prime is 2140318752773. The reversal of 2140318752768 is 8672578130412.

2140318752768 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 31 + 87 + 527 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2140318752763) and next prime (2140318752773).

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140318752763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 780851878 + ... + 780854618.

Almost surely, 2^{2140318752768} is an apocalyptic number.

2140318752768 is a gapful number since it is divisible by the number (28) 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 2140318752768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3784244948640).

2140318752768 is an abundant number, since it is smaller than the sum of its proper divisors (5428171144512).

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

2140318752768 is a wasteful number, since it uses less digits than its factorization.

2140318752768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2886 (or 2859 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 2140318752768 in words is "two trillion, one hundred forty billion, three hundred eighteen million, seven hundred fifty-two thousand, seven hundred sixty-eight".