2528472360960 has 1920 divisors, whose sum is σ = 11281113043200. Its totient is φ = 527444213760.

The previous prime is 2528472360937. The next prime is 2528472360971. The reversal of 2528472360960 is 690632748252.

2528472360960 is a `hidden beast` number, since 2 + 5 + 2 + 8 + 4 + 7 + 23 + 609 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2528472360897 and 2528472360906.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10491586440 + ... + 10491586680.

It is an arithmetic number, because the mean of its divisors is an integer number (5875579710).

Almost surely, 2^{2528472360960} is an apocalyptic number.

2528472360960 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 2528472360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5640556521600).

2528472360960 is an abundant number, since it is smaller than the sum of its proper divisors (8752640682240).

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

2528472360960 is a wasteful number, since it uses less digits than its factorization.

2528472360960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 2528472360960 in words is "two trillion, five hundred twenty-eight billion, four hundred seventy-two million, three hundred sixty thousand, nine hundred sixty".