201981288 has 48 divisors (see below), whose sum is σ = 523018080. Its totient is φ = 64998976.

The previous prime is 201981281. The next prime is 201981289. The reversal of 201981288 is 882189102.

201981288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (201981281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15181 + ... + 25187.

It is an arithmetic number, because the mean of its divisors is an integer number (10896210).

Almost surely, 2^201981288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201981288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261509040).

201981288 is an abundant number, since it is smaller than the sum of its proper divisors (321036792).

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

201981288 is a wasteful number, since it uses less digits than its factorization.

201981288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10074 (or 10041 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 39.

The square root of 201981288 is about 14212.0121024435. The cubic root of 201981288 is about 586.7283127944.

The spelling of 201981288 in words is "two hundred one million, nine hundred eighty-one thousand, two hundred eighty-eight".