2829361920 has 432 divisors, whose sum is σ = 11475571968. Its totient is φ = 587489280.

The previous prime is 2829361919. The next prime is 2829361921. The reversal of 2829361920 is 291639282.

It is an interprime number because it is at equal distance from previous prime (2829361919) and next prime (2829361921).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2829361921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2069077 + ... + 2070443.

It is an arithmetic number, because the mean of its divisors is an integer number (26563824).

Almost surely, 2^2829361920 is an apocalyptic number.

2829361920 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 2829361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5737785984).

2829361920 is an abundant number, since it is smaller than the sum of its proper divisors (8646210048).

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

2829361920 is a wasteful number, since it uses less digits than its factorization.

2829361920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 2829361920 is about 53191.7467282284. The cubic root of 2829361920 is about 1414.3693444213.

The spelling of 2829361920 in words is "two billion, eight hundred twenty-nine million, three hundred sixty-one thousand, nine hundred twenty".