2829613469352 has 256 divisors, whose sum is σ = 7523839872000. Its totient is φ = 885936150528.

The previous prime is 2829613469351. The next prime is 2829613469369. The reversal of 2829613469352 is 2539643169282.

It is not an unprimeable number, because it can be changed into a prime (2829613469351) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 447508063 + ... + 447514385.

It is an arithmetic number, because the mean of its divisors is an integer number (29389999500).

Almost surely, 2^{2829613469352} 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 2829613469352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3761919936000).

2829613469352 is an abundant number, since it is smaller than the sum of its proper divisors (4694226402648).

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

2829613469352 is a wasteful number, since it uses less digits than its factorization.

2829613469352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6600 (or 6596 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 60.

The spelling of 2829613469352 in words is "two trillion, eight hundred twenty-nine billion, six hundred thirteen million, four hundred sixty-nine thousand, three hundred fifty-two".