2530460640352 has 72 divisors (see below), whose sum is σ = 5244863481648. Its totient is φ = 1201313468160.

The previous prime is 2530460640347. The next prime is 2530460640359.

2530460640352 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2530460640359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 853573 + ... + 2406139.

It is an arithmetic number, because the mean of its divisors is an integer number (72845326134).

Almost surely, 2^{2530460640352} 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 2530460640352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2622431740824).

2530460640352 is an abundant number, since it is smaller than the sum of its proper divisors (2714402841296).

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

2530460640352 is a wasteful number, since it uses less digits than its factorization.

2530460640352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552692 (or 1552653 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 40.

The spelling of 2530460640352 in words is "two trillion, five hundred thirty billion, four hundred sixty million, six hundred forty thousand, three hundred fifty-two".