2140819627716 has 243 divisors, whose sum is σ = 6921515065647. Its totient is φ = 555881467680.

The previous prime is 2140819627703. The next prime is 2140819627721. The reversal of 2140819627716 is 6177269180412.

The square root of 2140819627716 is 1463154.

It is a perfect power (a square), and thus also a powerful number.

2140819627716 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 8 + 1 + 9 + 627 + 7 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 675975565 + ... + 675978731.

Almost surely, 2^{2140819627716} is an apocalyptic number.

2140819627716 is the 1463154-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2140819627716

2140819627716 is an abundant number, since it is smaller than the sum of its proper divisors (4780695437931).

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

2140819627716 is a wasteful number, since it uses less digits than its factorization.

2140819627716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6380 (or 3190 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 2140819627716 in words is "two trillion, one hundred forty billion, eight hundred nineteen million, six hundred twenty-seven thousand, seven hundred sixteen".