201944540 has 144 divisors (see below), whose sum is σ = 533836800. Its totient is φ = 62674560.

The previous prime is 201944539. The next prime is 201944549. The reversal of 201944540 is 45449102.

201944540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201944549) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2556221 + ... + 2556299.

It is an arithmetic number, because the mean of its divisors is an integer number (3707200).

Almost surely, 2^201944540 is an apocalyptic number.

201944540 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 201944540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266918400).

201944540 is an abundant number, since it is smaller than the sum of its proper divisors (331892260).

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

201944540 is a wasteful number, since it uses less digits than its factorization.

201944540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 201944540 is about 14210.7191936228. The cubic root of 201944540 is about 586.6927279802.

The spelling of 201944540 in words is "two hundred one million, nine hundred forty-four thousand, five hundred forty".