2085474600 has 576 divisors, whose sum is σ = 8189475840. Its totient is φ = 488851200.

The previous prime is 2085474583. The next prime is 2085474617. The reversal of 2085474600 is 64745802.

2085474600 is a `hidden beast` number, since 2 + 0 + 8 + 5 + 47 + 4 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (2085474583) and next prime (2085474617).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25126159 + ... + 25126241.

It is an arithmetic number, because the mean of its divisors is an integer number (14217840).

Almost surely, 2^2085474600 is an apocalyptic number.

2085474600 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 2085474600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4094737920).

2085474600 is an abundant number, since it is smaller than the sum of its proper divisors (6104001240).

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

2085474600 is a wasteful number, since it uses less digits than its factorization.

2085474600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2085474600 is about 45666.9968357894. The cubic root of 2085474600 is about 1277.6198035885.

The spelling of 2085474600 in words is "two billion, eighty-five million, four hundred seventy-four thousand, six hundred".