2739943768896 has 560 divisors, whose sum is σ = 8888861673600. Its totient is φ = 827626035456.

The previous prime is 2739943768829. The next prime is 2739943768897. The reversal of 2739943768896 is 6988673499372.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2739943768896 is a `hidden beast` number, since 2 + 7 + 3 + 99 + 437 + 6 + 8 + 8 + 96 = 666.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 2739943768896 = 1748³ + 13984³ = 7866³ + 13110³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2739943768897) 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 79 ways as a sum of consecutive naturals, for example, 119127989941 + ... + 119127989963.

Almost surely, 2^{2739943768896} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2739943768896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4444430836800).

2739943768896 is an abundant number, since it is smaller than the sum of its proper divisors (6148917904704).

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

2739943768896 is an frugal number, since it uses more digits than its factorization.

2739943768896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 47 counting only the distinct ones).

The product of its digits is 5925685248, while the sum is 81.

The spelling of 2739943768896 in words is "two trillion, seven hundred thirty-nine billion, nine hundred forty-three million, seven hundred sixty-eight thousand, eight hundred ninety-six".