2829960000 has 420 divisors, whose sum is σ = 11594563552. Its totient is φ = 646272000.

The previous prime is 2829959987. The next prime is 2829960013. The reversal of 2829960000 is 699282.

2829960000 is a `hidden beast` number, since 28 + 29 + 9 + 600 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2829959987) and next prime (2829960013).

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 2519439 + ... + 2520561.

Almost surely, 2^2829960000 is an apocalyptic number.

2829960000 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 2829960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5797281776).

2829960000 is an abundant number, since it is smaller than the sum of its proper divisors (8764603552).

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

2829960000 is a wasteful number, since it uses less digits than its factorization.

2829960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2829960000 is about 53197.3683559629. The cubic root of 2829960000 is about 1414.4689954434.

The spelling of 2829960000 in words is "two billion, eight hundred twenty-nine million, nine hundred sixty thousand".