2829738549132 has 72 divisors (see below), whose sum is σ = 7832888743680. Its totient is φ = 854236055520.

The previous prime is 2829738549109. The next prime is 2829738549161. The reversal of 2829738549132 is 2319458379282.

2829738549132 is a `hidden beast` number, since 2 + 8 + 2 + 9 + 73 + 8 + 549 + 13 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2829738549132.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13481032 + ... + 13689327.

It is an arithmetic number, because the mean of its divisors is an integer number (108790121440).

Almost surely, 2^{2829738549132} is an apocalyptic number.

2829738549132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2829738549132 is an abundant number, since it is smaller than the sum of its proper divisors (5003150194548).

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

2829738549132 is a wasteful number, since it uses less digits than its factorization.

2829738549132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27170643 (or 27170638 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 2829738549132 in words is "two trillion, eight hundred twenty-nine billion, seven hundred thirty-eight million, five hundred forty-nine thousand, one hundred thirty-two".