2835284004 has 144 divisors (see below), whose sum is σ = 8763326208. Its totient is φ = 754458624.

The previous prime is 2835283981. The next prime is 2835284069. The reversal of 2835284004 is 4004825382.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2835284004.

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 47 ways as a sum of consecutive naturals, for example, 412137 + ... + 418959.

It is an arithmetic number, because the mean of its divisors is an integer number (60856432).

Almost surely, 2^2835284004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2835284004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4381663104).

2835284004 is an abundant number, since it is smaller than the sum of its proper divisors (5928042204).

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

2835284004 is a wasteful number, since it uses less digits than its factorization.

2835284004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6954 (or 6949 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2835284004 is about 53247.3849498734. The cubic root of 2835284004 is about 1415.3554533268.

The spelling of 2835284004 in words is "two billion, eight hundred thirty-five million, two hundred eighty-four thousand, four".