2528480656 has 45 divisors (see below), whose sum is σ = 5310251361. Its totient is φ = 1165784256.

The previous prime is 2528480641. The next prime is 2528480657. The reversal of 2528480656 is 6560848252.

The square root of 2528480656 is 50284.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 374035600 + 2154445056 = 19340^2 + 46416^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2528480657) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2614285 + ... + 2615251.

Almost surely, 2^2528480656 is an apocalyptic number.

2528480656 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2528480656 is the 50284-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2528480656

2528480656 is an abundant number, since it is smaller than the sum of its proper divisors (2781770705).

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

2528480656 is an frugal number, since it uses more digits than its factorization.

2528480656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 46.

The cubic root of 2528480656 is about 1362.3432526914.

The spelling of 2528480656 in words is "two billion, five hundred twenty-eight million, four hundred eighty thousand, six hundred fifty-six".