2829801600 has 144 divisors (see below), whose sum is σ = 10097483370. Its totient is φ = 754606080.

The previous prime is 2829801571. The next prime is 2829801607. The reversal of 2829801600 is 61089282.

2829801600 is a `hidden beast` number, since 28 + 29 + 8 + 0 + 1 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1623767616 + 1206033984 = 40296^2 + 34728^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (2829801607) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20329 + ... + 77928.

Almost surely, 2^2829801600 is an apocalyptic number.

2829801600 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 2829801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5048741685).

2829801600 is an abundant number, since it is smaller than the sum of its proper divisors (7267681770).

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

2829801600 is a wasteful number, since it uses less digits than its factorization.

2829801600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98287 (or 98267 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 2829801600 is about 53195.8795396786. The cubic root of 2829801600 is about 1414.4426044850.

The spelling of 2829801600 in words is "two billion, eight hundred twenty-nine million, eight hundred one thousand, six hundred".