201812580 has 96 divisors (see below), whose sum is σ = 655200000. Its totient is φ = 51473664.

The previous prime is 201812579. The next prime is 201812581. The reversal of 201812580 is 85218102.

201812580 is a `hidden beast` number, since 2 + 0 + 1 + 81 + 2 + 580 = 666.

It is an interprime number because it is at equal distance from previous prime (201812579) and next prime (201812581).

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

It is not an unprimeable number, because it can be changed into a prime (201812581) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4296 + ... + 20544.

It is an arithmetic number, because the mean of its divisors is an integer number (6825000).

Almost surely, 2^201812580 is an apocalyptic number.

201812580 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 201812580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327600000).

201812580 is an abundant number, since it is smaller than the sum of its proper divisors (453387420).

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

201812580 is a wasteful number, since it uses less digits than its factorization.

201812580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16290 (or 16282 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 201812580 is about 14206.0754608724. The cubic root of 201812580 is about 586.5649093198.

The spelling of 201812580 in words is "two hundred one million, eight hundred twelve thousand, five hundred eighty".