2829869660160 has 576 divisors, whose sum is σ = 9952171669440. Its totient is φ = 743602913280.

The previous prime is 2829869660159. The next prime is 2829869660161. The reversal of 2829869660160 is 610669689282.

It is an interprime number because it is at equal distance from previous prime (2829869660159) and next prime (2829869660161).

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2829869660161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2287687062 + ... + 2287688298.

It is an arithmetic number, because the mean of its divisors is an integer number (17278075815).

Almost surely, 2^{2829869660160} is an apocalyptic number.

2829869660160 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 2829869660160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4976085834720).

2829869660160 is an abundant number, since it is smaller than the sum of its proper divisors (7122302009280).

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

2829869660160 is a wasteful number, since it uses less digits than its factorization.

2829869660160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 2829869660160 in words is "two trillion, eight hundred twenty-nine billion, eight hundred sixty-nine million, six hundred sixty thousand, one hundred sixty".