2539145306880 has 2160 divisors, whose sum is σ = 11884450294080. Its totient is φ = 486831292416.

The previous prime is 2539145306869. The next prime is 2539145306881. The reversal of 2539145306880 is 886035419352.

2539145306880 is a `hidden beast` number, since 2 + 5 + 39 + 14 + 530 + 68 + 8 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2539145306881) 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 239 ways as a sum of consecutive naturals, for example, 87556734706 + ... + 87556734734.

Almost surely, 2^{2539145306880} is an apocalyptic number.

2539145306880 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 2539145306880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5942225147040).

2539145306880 is an abundant number, since it is smaller than the sum of its proper divisors (9345304987200).

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

2539145306880 is an equidigital number, since it uses as much as digits as its factorization.

2539145306880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 2539145306880 in words is "two trillion, five hundred thirty-nine billion, one hundred forty-five million, three hundred six thousand, eight hundred eighty".