240252044100 has 144 divisors (see below), whose sum is σ = 708233628480. Its totient is φ = 62864524800.

The previous prime is 240252044063. The next prime is 240252044119. The reversal of 240252044100 is 1440252042.

It is a happy 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 47 ways as a sum of consecutive naturals, for example, 7652034 + ... + 7683366.

Almost surely, 2^240252044100 is an apocalyptic number.

240252044100 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 240252044100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354116814240).

240252044100 is an abundant number, since it is smaller than the sum of its proper divisors (467981584380).

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

240252044100 is a wasteful number, since it uses less digits than its factorization.

240252044100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31830 (or 31823 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 240252044100 its reverse (1440252042), we get a palindrome (241692296142).

The spelling of 240252044100 in words is "two hundred forty billion, two hundred fifty-two million, forty-four thousand, one hundred".