2772089240832 has 216 divisors, whose sum is σ = 8417177364960. Its totient is φ = 874991185920.

The previous prime is 2772089240783. The next prime is 2772089240849. The reversal of 2772089240832 is 2380429802772.

2772089240832 is a `hidden beast` number, since 27 + 7 + 208 + 9 + 2 + 408 + 3 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 102728782 + ... + 102755762.

Almost surely, 2^{2772089240832} 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 2772089240832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4208588682480).

2772089240832 is an abundant number, since it is smaller than the sum of its proper divisors (5645088124128).

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

2772089240832 is a wasteful number, since it uses less digits than its factorization.

2772089240832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29369 (or 29352 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 2772089240832 in words is "two trillion, seven hundred seventy-two billion, eighty-nine million, two hundred forty thousand, eight hundred thirty-two".