2548596960 has 480 divisors, whose sum is σ = 11075182272. Its totient is φ = 537477120.

The previous prime is 2548596943. The next prime is 2548596989. The reversal of 2548596960 is 696958452.

It is a happy number.

2548596960 is a `hidden beast` number, since 2 + 5 + 48 + 596 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 2548596897 and 2548596906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1178280 + ... + 1180440.

Almost surely, 2^2548596960 is an apocalyptic number.

2548596960 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 2548596960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5537591136).

2548596960 is an abundant number, since it is smaller than the sum of its proper divisors (8526585312).

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

2548596960 is a wasteful number, since it uses less digits than its factorization.

2548596960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2208 (or 2191 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The square root of 2548596960 is about 50483.6306142892. The cubic root of 2548596960 is about 1365.9465961528.

The spelling of 2548596960 in words is "two billion, five hundred forty-eight million, five hundred ninety-six thousand, nine hundred sixty".