2722829001984 has 1080 divisors, whose sum is σ = 10251114830880. Its totient is φ = 712461754368.

The previous prime is 2722829001961. The next prime is 2722829002009. The reversal of 2722829001984 is 4891009282272.

2722829001984 is a `hidden beast` number, since 272 + 2 + 8 + 290 + 0 + 1 + 9 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2722829001984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1836026907 + ... + 1836028389.

Almost surely, 2^{2722829001984} is an apocalyptic number.

2722829001984 is a gapful number since it is divisible by the number (24) 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 2722829001984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5125557415440).

2722829001984 is an abundant number, since it is smaller than the sum of its proper divisors (7528285828896).

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

2722829001984 is a wasteful number, since it uses less digits than its factorization.

2722829001984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1677 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 2722829001984 in words is "two trillion, seven hundred twenty-two billion, eight hundred twenty-nine million, one thousand, nine hundred eighty-four".