2855034000 has 960 divisors, whose sum is σ = 12966670080. Its totient is φ = 595123200.

The previous prime is 2855033983. The next prime is 2855034023. The reversal of 2855034000 is 4305582.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 191 ways as a sum of consecutive naturals, for example, 34397959 + ... + 34398041.

It is an arithmetic number, because the mean of its divisors is an integer number (13506948).

Almost surely, 2^2855034000 is an apocalyptic number.

2855034000 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 2855034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6483335040).

2855034000 is an abundant number, since it is smaller than the sum of its proper divisors (10111636080).

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

2855034000 is a wasteful number, since it uses less digits than its factorization.

2855034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2855034000 is about 53432.5181888333. The cubic root of 2855034000 is about 1418.6342088219.

Adding to 2855034000 its reverse (4305582), we get a palindrome (2859339582).

The spelling of 2855034000 in words is "two billion, eight hundred fifty-five million, thirty-four thousand".