2530510514000 has 160 divisors (see below), whose sum is σ = 6995684247552. Its totient is φ = 867256320000.

The previous prime is 2530510513933. The next prime is 2530510514039. The reversal of 2530510514000 is 4150150352.

It is a super-2 number, since 2×2530510514000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36239120 + ... + 36308880.

Almost surely, 2^{2530510514000} is an apocalyptic number.

2530510514000 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 2530510514000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3497842123776).

2530510514000 is an abundant number, since it is smaller than the sum of its proper divisors (4465173733552).

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

2530510514000 is a wasteful number, since it uses less digits than its factorization.

2530510514000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72382 (or 72366 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

Adding to 2530510514000 its reverse (4150150352), we get a palindrome (2534660664352).

The spelling of 2530510514000 in words is "two trillion, five hundred thirty billion, five hundred ten million, five hundred fourteen thousand".