2829849449020 has 96 divisors (see below), whose sum is σ = 6562912608000. Its totient is φ = 1016382781440.

The previous prime is 2829849448999. The next prime is 2829849449027. The reversal of 2829849449020 is 209449489282.

It is a self number, because there is not a number n which added to its sum of digits gives 2829849449020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2829849449027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10515787 + ... + 10781533.

It is an arithmetic number, because the mean of its divisors is an integer number (68363673000).

Almost surely, 2^{2829849449020} is an apocalyptic number.

2829849449020 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 2829849449020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3281456304000).

2829849449020 is an abundant number, since it is smaller than the sum of its proper divisors (3733063158980).

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

2829849449020 is a wasteful number, since it uses less digits than its factorization.

2829849449020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266363 (or 266361 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 61.

The spelling of 2829849449020 in words is "two trillion, eight hundred twenty-nine billion, eight hundred forty-nine million, four hundred forty-nine thousand, twenty".