2742219986688 has 432 divisors, whose sum is σ = 10045001680896. Its totient is φ = 699891425280.

The previous prime is 2742219986687. The next prime is 2742219986861. The reversal of 2742219986688 is 8866899122472.

2742219986688 is a `hidden beast` number, since 2 + 7 + 422 + 199 + 8 + 6 + 6 + 8 + 8 = 666.

It is a super-2 number, since 2×2742219986688² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2742219986687) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6288631 + ... + 6710537.

Almost surely, 2^{2742219986688} is an apocalyptic number.

2742219986688 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 2742219986688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5022500840448).

2742219986688 is an abundant number, since it is smaller than the sum of its proper divisors (7302781694208).

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

2742219986688 is a wasteful number, since it uses less digits than its factorization.

2742219986688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421980 (or 421963 counting only the distinct ones).

The product of its digits is 334430208, while the sum is 72.

The spelling of 2742219986688 in words is "two trillion, seven hundred forty-two billion, two hundred nineteen million, nine hundred eighty-six thousand, six hundred eighty-eight".