2548748160 has 512 divisors, whose sum is σ = 10869120000. Its totient is φ = 551411712.

The previous prime is 2548748129. The next prime is 2548748233. The reversal of 2548748160 is 618478452.

2548748160 is a `hidden beast` number, since 2 + 5 + 487 + 4 + 8 + 160 = 666.

It is a super-2 number, since 2×2548748160² = 12992234366206771200, which contains 22 as substring.

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 2297686 + ... + 2298794.

It is an arithmetic number, because the mean of its divisors is an integer number (21228750).

Almost surely, 2^2548748160 is an apocalyptic number.

2548748160 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 2548748160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5434560000).

2548748160 is an abundant number, since it is smaller than the sum of its proper divisors (8320371840).

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

2548748160 is a wasteful number, since it uses less digits than its factorization.

2548748160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 2548748160 is about 50485.1281071961. The cubic root of 2548748160 is about 1365.9736080139.

The spelling of 2548748160 in words is "two billion, five hundred forty-eight million, seven hundred forty-eight thousand, one hundred sixty".