202542050400 has 144 divisors (see below), whose sum is σ = 660233867328. Its totient is φ = 53932608000.

The previous prime is 202542050377. The next prime is 202542050411. The reversal of 202542050400 is 4050245202.

It is a happy number.

It is a super-2 number, since 2×202542050400² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1597335 + ... + 1719465.

It is an arithmetic number, because the mean of its divisors is an integer number (4584957412).

Almost surely, 2^202542050400 is an apocalyptic number.

202542050400 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 202542050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330116933664).

202542050400 is an abundant number, since it is smaller than the sum of its proper divisors (457691816928).

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

202542050400 is a wasteful number, since it uses less digits than its factorization.

202542050400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122845 (or 122832 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

Adding to 202542050400 its reverse (4050245202), we get a palindrome (206592295602).

The spelling of 202542050400 in words is "two hundred two billion, five hundred forty-two million, fifty thousand, four hundred".