2084852000 has 288 divisors, whose sum is σ = 6507236736. Its totient is φ = 649152000.

The previous prime is 2084851981. The next prime is 2084852053. The reversal of 2084852000 is 2584802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2155517 + ... + 2156483.

It is an arithmetic number, because the mean of its divisors is an integer number (22594572).

Almost surely, 2^2084852000 is an apocalyptic number.

2084852000 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 2084852000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3253618368).

2084852000 is an abundant number, since it is smaller than the sum of its proper divisors (4422384736).

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

2084852000 is a wasteful number, since it uses less digits than its factorization.

2084852000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

The square root of 2084852000 is about 45660.1795879079. The cubic root of 2084852000 is about 1277.4926502361.

The spelling of 2084852000 in words is "two billion, eighty-four million, eight hundred fifty-two thousand".