201838880 has 48 divisors (see below), whose sum is σ = 477772344. Its totient is φ = 80578560.

The previous prime is 201838877. The next prime is 201838883. The reversal of 201838880 is 88838102.

It is an interprime number because it is at equal distance from previous prime (201838877) and next prime (201838883).

It can be written as a sum of positive squares in 4 ways, for example, as 201753616 + 85264 = 14204^2 + 292^2 .

It is not an unprimeable number, because it can be changed into a prime (201838883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116420 + ... + 118140.

Almost surely, 2^201838880 is an apocalyptic number.

201838880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201838880 is an abundant number, since it is smaller than the sum of its proper divisors (275933464).

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

201838880 is a wasteful number, since it uses less digits than its factorization.

201838880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2469 (or 2461 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 38.

The square root of 201838880 is about 14207.0010910114. The cubic root of 201838880 is about 586.5903883839.

The spelling of 201838880 in words is "two hundred one million, eight hundred thirty-eight thousand, eight hundred eighty".