201780240 has 160 divisors (see below), whose sum is σ = 664052736. Its totient is φ = 50595840.

The previous prime is 201780211. The next prime is 201780251. The reversal of 201780240 is 42087102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 201780240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274914 + ... + 275646.

Almost surely, 2^201780240 is an apocalyptic number.

201780240 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 201780240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332026368).

201780240 is an abundant number, since it is smaller than the sum of its proper divisors (462272496).

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

201780240 is a wasteful number, since it uses less digits than its factorization.

201780240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 201780240 is about 14204.9371698716. The cubic root of 201780240 is about 586.5335757552.

The spelling of 201780240 in words is "two hundred one million, seven hundred eighty thousand, two hundred forty".