2085287600 has 60 divisors (see below), whose sum is σ = 5465360760. Its totient is φ = 758284800.

The previous prime is 2085287599. The next prime is 2085287621. The reversal of 2085287600 is 67825802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 232565 + ... + 241364.

It is an arithmetic number, because the mean of its divisors is an integer number (91089346).

Almost surely, 2^2085287600 is an apocalyptic number.

2085287600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2085287600 is an abundant number, since it is smaller than the sum of its proper divisors (3380073160).

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

2085287600 is a wasteful number, since it uses less digits than its factorization.

2085287600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473958 (or 473947 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 2085287600 is about 45664.9493594376. The cubic root of 2085287600 is about 1277.5816153116.

The spelling of 2085287600 in words is "two billion, eighty-five million, two hundred eighty-seven thousand, six hundred".