2542224416 has 96 divisors (see below), whose sum is σ = 5300507520. Its totient is φ = 1198872576.

The previous prime is 2542224413. The next prime is 2542224437. The reversal of 2542224416 is 6144222452.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (2542224413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5790725 + ... + 5791163.

It is an arithmetic number, because the mean of its divisors is an integer number (55213620).

Almost surely, 2^2542224416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2542224416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2650253760).

2542224416 is an abundant number, since it is smaller than the sum of its proper divisors (2758283104).

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

2542224416 is a wasteful number, since it uses less digits than its factorization.

2542224416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 618 counting only the distinct ones).

The product of its digits is 30720, while the sum is 32.

The square root of 2542224416 is about 50420.4761580055. The cubic root of 2542224416 is about 1364.8071692433.

Adding to 2542224416 its reverse (6144222452), we get a palindrome (8686446868).

The spelling of 2542224416 in words is "two billion, five hundred forty-two million, two hundred twenty-four thousand, four hundred sixteen".