2829118281920 has 56 divisors (see below), whose sum is σ = 7699243330464. Its totient is φ = 969983410176.

The previous prime is 2829118281919. The next prime is 2829118281929. The reversal of 2829118281920 is 291828119282.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (2829118281929) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 631497377 + ... + 631501856.

It is an arithmetic number, because the mean of its divisors is an integer number (137486488044).

Almost surely, 2^{2829118281920} is an apocalyptic number.

2829118281920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2829118281920 is an abundant number, since it is smaller than the sum of its proper divisors (4870125048544).

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

2829118281920 is a wasteful number, since it uses less digits than its factorization.

2829118281920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262999257 (or 1262999247 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 53.

The spelling of 2829118281920 in words is "two trillion, eight hundred twenty-nine billion, one hundred eighteen million, two hundred eighty-one thousand, nine hundred twenty".