2742588856800 has 864 divisors, whose sum is σ = 10720023874560. Its totient is φ = 655553433600.

The previous prime is 2742588856793. The next prime is 2742588856829. The reversal of 2742588856800 is 86588852472.

2742588856800 is a `hidden beast` number, since 2 + 7 + 42 + 588 + 8 + 5 + 6 + 8 + 0 + 0 = 666.

2742588856800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 576292821 + ... + 576297579.

It is an arithmetic number, because the mean of its divisors is an integer number (12407435040).

Almost surely, 2^{2742588856800} is an apocalyptic number.

2742588856800 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 2742588856800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5360011937280).

2742588856800 is an abundant number, since it is smaller than the sum of its proper divisors (7977435017760).

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

2742588856800 is a wasteful number, since it uses less digits than its factorization.

2742588856800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4976 (or 4960 counting only the distinct ones).

The product of its (nonzero) digits is 68812800, while the sum is 63.

The spelling of 2742588856800 in words is "two trillion, seven hundred forty-two billion, five hundred eighty-eight million, eight hundred fifty-six thousand, eight hundred".