2530013344000 has 72 divisors (see below), whose sum is σ = 6302579571288. Its totient is φ = 1012005324800.

The previous prime is 2530013343989. The next prime is 2530013344009. The reversal of 2530013344000 is 4433100352.

It can be written as a sum of positive squares in 4 ways, for example, as 80012042496 + 2450001301504 = 282864^2 + 1565248^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2530013344009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39499459 + ... + 39563458.

It is an arithmetic number, because the mean of its divisors is an integer number (87535827379).

Almost surely, 2^{2530013344000} is an apocalyptic number.

2530013344000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2530013344000 is an abundant number, since it is smaller than the sum of its proper divisors (3772566227288).

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

2530013344000 is an frugal number, since it uses more digits than its factorization.

2530013344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79062948 (or 79062924 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 2530013344000 its reverse (4433100352), we get a palindrome (2534446444352).

The spelling of 2530013344000 in words is "two trillion, five hundred thirty billion, thirteen million, three hundred forty-four thousand".