2084286152004 has 96 divisors (see below), whose sum is σ = 5750832353280. Its totient is φ = 574867746432.

The previous prime is 2084286151993. The next prime is 2084286152009. The reversal of 2084286152004 is 4002516824802.

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 (2084286152009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13386369 + ... + 13541175.

It is an arithmetic number, because the mean of its divisors is an integer number (59904503680).

Almost surely, 2^{2084286152004} 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 2084286152004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2875416176640).

2084286152004 is an abundant number, since it is smaller than the sum of its proper divisors (3666546201276).

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

2084286152004 is a wasteful number, since it uses less digits than its factorization.

2084286152004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160377 (or 160375 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The spelling of 2084286152004 in words is "two trillion, eighty-four billion, two hundred eighty-six million, one hundred fifty-two thousand, four".