2528544480 has 576 divisors, whose sum is σ = 10441363968. Its totient is φ = 499322880.

The previous prime is 2528544463. The next prime is 2528544527. The reversal of 2528544480 is 844458252.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58803339 + ... + 58803381.

It is an arithmetic number, because the mean of its divisors is an integer number (18127368).

Almost surely, 2^2528544480 is an apocalyptic number.

2528544480 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 2528544480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5220681984).

2528544480 is an abundant number, since it is smaller than the sum of its proper divisors (7912819488).

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

2528544480 is a wasteful number, since it uses less digits than its factorization.

2528544480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 42.

The square root of 2528544480 is about 50284.6346312668. The cubic root of 2528544480 is about 1362.3547153675.

The spelling of 2528544480 in words is "two billion, five hundred twenty-eight million, five hundred forty-four thousand, four hundred eighty".