202542252240 has 320 divisors, whose sum is σ = 679965622272. Its totient is φ = 49726617600.

The previous prime is 202542252229. The next prime is 202542252277. The reversal of 202542252240 is 42252245202.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 202542252198 and 202542252207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32680822 + ... + 32687018.

Almost surely, 2^202542252240 is an apocalyptic number.

202542252240 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 202542252240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339982811136).

202542252240 is an abundant number, since it is smaller than the sum of its proper divisors (477423370032).

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

202542252240 is a wasteful number, since it uses less digits than its factorization.

202542252240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6458 (or 6452 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

Adding to 202542252240 its reverse (42252245202), we get a palindrome (244794497442).

The spelling of 202542252240 in words is "two hundred two billion, five hundred forty-two million, two hundred fifty-two thousand, two hundred forty".