2829790080 has 960 divisors, whose sum is σ = 12196364400. Its totient is φ = 621084672.

The previous prime is 2829790079. The next prime is 2829790087. The reversal of 2829790080 is 800979282.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2829790087) 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 119 ways as a sum of consecutive naturals, for example, 148936311 + ... + 148936329.

Almost surely, 2^2829790080 is an apocalyptic number.

2829790080 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 2829790080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6098182200).

2829790080 is an abundant number, since it is smaller than the sum of its proper divisors (9366574320).

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

2829790080 is a wasteful number, since it uses less digits than its factorization.

2829790080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 2829790080 is about 53195.7712605053. The cubic root of 2829790080 is about 1414.4406851042.

The spelling of 2829790080 in words is "two billion, eight hundred twenty-nine million, seven hundred ninety thousand, eighty".