2528410066560 has 1024 divisors, whose sum is σ = 10600427520000. Its totient is φ = 569207181312.

The previous prime is 2528410066543. The next prime is 2528410066613. The reversal of 2528410066560 is 656600148252.

2528410066560 is a `hidden beast` number, since 2 + 5 + 2 + 84 + 1 + 0 + 0 + 6 + 6 + 560 = 666.

2528410066560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 397108497 + ... + 397114863.

It is an arithmetic number, because the mean of its divisors is an integer number (10351980000).

Almost surely, 2^{2528410066560} is an apocalyptic number.

2528410066560 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 2528410066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5300213760000).

2528410066560 is an abundant number, since it is smaller than the sum of its proper divisors (8072017453440).

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

2528410066560 is an equidigital number, since it uses as much as digits as its factorization.

2528410066560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6483 (or 6451 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 2528410066560 in words is "two trillion, five hundred twenty-eight billion, four hundred ten million, sixty-six thousand, five hundred sixty".