240242402000 has 80 divisors (see below), whose sum is σ = 615077163792. Its totient is φ = 90444185600.

The previous prime is 240242401979. The next prime is 240242402009. The reversal of 240242402000 is 204242042.

240242402000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 51354811456 + 188887590544 = 226616^2 + 434612^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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 (240242402009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3498977 + ... + 3566976.

Almost surely, 2^240242402000 is an apocalyptic number.

240242402000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240242402000 is an abundant number, since it is smaller than the sum of its proper divisors (374834761792).

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

240242402000 is a wasteful number, since it uses less digits than its factorization.

240242402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7065993 (or 7065977 counting only the distinct ones).

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

Adding to 240242402000 its reverse (204242042), we get a palindrome (240446644042).

The spelling of 240242402000 in words is "two hundred forty billion, two hundred forty-two million, four hundred two thousand".