2704828129920 has 1152 divisors, whose sum is σ = 11704011770880. Its totient is φ = 572247244800.

The previous prime is 2704828129891. The next prime is 2704828129937. The reversal of 2704828129920 is 299218284072.

2704828129920 is a `hidden beast` number, since 2 + 70 + 4 + 8 + 281 + 299 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 201230400 + ... + 201243840.

It is an arithmetic number, because the mean of its divisors is an integer number (10159732440).

Almost surely, 2^{2704828129920} is an apocalyptic number.

2704828129920 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 2704828129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5852005885440).

2704828129920 is an abundant number, since it is smaller than the sum of its proper divisors (8999183640960).

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

2704828129920 is a wasteful number, since it uses less digits than its factorization.

2704828129920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13534 (or 13512 counting only the distinct ones).

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

The spelling of 2704828129920 in words is "two trillion, seven hundred four billion, eight hundred twenty-eight million, one hundred twenty-nine thousand, nine hundred twenty".