2528079130080 has 1728 divisors, whose sum is σ = 10924021075968. Its totient is φ = 520815329280.

The previous prime is 2528079130039. The next prime is 2528079130103. The reversal of 2528079130080 is 800319708252.

It is a happy number.

2528079130080 is a `hidden beast` number, since 2 + 528 + 0 + 7 + 91 + 30 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8234785287 + ... + 8234785593.

It is an arithmetic number, because the mean of its divisors is an integer number (6321771456).

Almost surely, 2^{2528079130080} is an apocalyptic number.

2528079130080 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 2528079130080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5462010537984).

2528079130080 is an abundant number, since it is smaller than the sum of its proper divisors (8395941945888).

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

2528079130080 is a wasteful number, since it uses less digits than its factorization.

2528079130080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 2528079130080 in words is "two trillion, five hundred twenty-eight billion, seventy-nine million, one hundred thirty thousand, eighty".