2548638188208 has 480 divisors, whose sum is σ = 8706322759680. Its totient is φ = 679400939520.

The previous prime is 2548638188197. The next prime is 2548638188227. The reversal of 2548638188208 is 8028818368452.

2548638188208 is a `hidden beast` number, since 2 + 5 + 48 + 6 + 381 + 8 + 8 + 208 = 666.

It is a super-2 number, since 2×2548638188208² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 95 ways as a sum of consecutive naturals, for example, 1138291953 + ... + 1138294191.

It is an arithmetic number, because the mean of its divisors is an integer number (18138172416).

Almost surely, 2^{2548638188208} is an apocalyptic number.

2548638188208 is a gapful number since it is divisible by the number (28) 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 2548638188208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4353161379840).

2548638188208 is an abundant number, since it is smaller than the sum of its proper divisors (6157684571472).

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

2548638188208 is a wasteful number, since it uses less digits than its factorization.

2548638188208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2825 (or 2816 counting only the distinct ones).

The product of its (nonzero) digits is 47185920, while the sum is 63.

The spelling of 2548638188208 in words is "two trillion, five hundred forty-eight billion, six hundred thirty-eight million, one hundred eighty-eight thousand, two hundred eight".