2542422240 has 144 divisors (see below), whose sum is σ = 8786232000. Its totient is φ = 669367296.

The previous prime is 2542422229. The next prime is 2542422241. The reversal of 2542422240 is 422242452.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2542422241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102586 + ... + 124934.

It is an arithmetic number, because the mean of its divisors is an integer number (61015500).

Almost surely, 2^2542422240 is an apocalyptic number.

2542422240 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 2542422240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4393116000).

2542422240 is an abundant number, since it is smaller than the sum of its proper divisors (6243809760).

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

2542422240 is a wasteful number, since it uses less digits than its factorization.

2542422240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22449 (or 22438 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

The square root of 2542422240 is about 50422.4378625231. The cubic root of 2542422240 is about 1364.8425692928.

Adding to 2542422240 its reverse (422242452), we get a palindrome (2964664692).

The spelling of 2542422240 in words is "two billion, five hundred forty-two million, four hundred twenty-two thousand, two hundred forty".