2530724742 has 256 divisors, whose sum is σ = 7354368000. Its totient is φ = 627056640.

The previous prime is 2530724723. The next prime is 2530724747. The reversal of 2530724742 is 2474270352.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2530724697 and 2530724706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2530724747) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5636134 + ... + 5636582.

It is an arithmetic number, because the mean of its divisors is an integer number (28728000).

Almost surely, 2^2530724742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2530724742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3677184000).

2530724742 is an abundant number, since it is smaller than the sum of its proper divisors (4823643258).

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

2530724742 is a wasteful number, since it uses less digits than its factorization.

2530724742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The square root of 2530724742 is about 50306.3091669425. The cubic root of 2530724742 is about 1362.7461707322.

The spelling of 2530724742 in words is "two billion, five hundred thirty million, seven hundred twenty-four thousand, seven hundred forty-two".