2542421224240 has 40 divisors (see below), whose sum is σ = 5965359911280. Its totient is φ = 1007638500096.

The previous prime is 2542421224157. The next prime is 2542421224241. The reversal of 2542421224240 is 424221242452.

2542421224240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 2542421224196 and 2542421224205.

It is not an unprimeable number, because it can be changed into a prime (2542421224241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145772314 + ... + 145789753.

It is an arithmetic number, because the mean of its divisors is an integer number (149133997782).

Almost surely, 2^{2542421224240} is an apocalyptic number.

2542421224240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2542421224240 is an abundant number, since it is smaller than the sum of its proper divisors (3422938687040).

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

2542421224240 is a wasteful number, since it uses less digits than its factorization.

2542421224240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291562189 (or 291562183 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 34.

Adding to 2542421224240 its reverse (424221242452), we get a palindrome (2966642466692).

The spelling of 2542421224240 in words is "two trillion, five hundred forty-two billion, four hundred twenty-one million, two hundred twenty-four thousand, two hundred forty".