202442240 has 320 divisors, whose sum is σ = 659957760. Its totient is φ = 57507840.

The previous prime is 202442209. The next prime is 202442249. The reversal of 202442240 is 42244202.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202442249) 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, 2562521 + ... + 2562599.

It is an arithmetic number, because the mean of its divisors is an integer number (2062368).

Almost surely, 2^202442240 is an apocalyptic number.

202442240 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 202442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329978880).

202442240 is an abundant number, since it is smaller than the sum of its proper divisors (457515520).

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

202442240 is a wasteful number, since it uses less digits than its factorization.

202442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 202442240 is about 14228.2198464882. The cubic root of 202442240 is about 587.1743080870.

Adding to 202442240 its reverse (42244202), we get a palindrome (244686442).

The spelling of 202442240 in words is "two hundred two million, four hundred forty-two thousand, two hundred forty".