2548267560 has 128 divisors (see below), whose sum is σ = 8654688000. Its totient is φ = 666701568.

The previous prime is 2548267559. The next prime is 2548267609. The reversal of 2548267560 is 657628452.

2548267560 is a `hidden beast` number, since 2 + 5 + 4 + 82 + 6 + 7 + 560 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34981 + ... + 79499.

It is an arithmetic number, because the mean of its divisors is an integer number (67614750).

Almost surely, 2^2548267560 is an apocalyptic number.

2548267560 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 2548267560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4327344000).

2548267560 is an abundant number, since it is smaller than the sum of its proper divisors (6106420440).

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

2548267560 is a wasteful number, since it uses less digits than its factorization.

2548267560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44592 (or 44582 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 2548267560 is about 50480.3680652192. The cubic root of 2548267560 is about 1365.8877451848.

The spelling of 2548267560 in words is "two billion, five hundred forty-eight million, two hundred sixty-seven thousand, five hundred sixty".