2548793278080 has 640 divisors, whose sum is σ = 10519530912000. Its totient is φ = 576028164096.

The previous prime is 2548793278061. The next prime is 2548793278091. The reversal of 2548793278080 is 808723978452.

2548793278080 is a `hidden beast` number, since 2 + 5 + 487 + 9 + 3 + 2 + 78 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a junction number, because it is equal to n+sod(n) for n = 2548793277999 and 2548793278017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32256861 + ... + 32335779.

It is an arithmetic number, because the mean of its divisors is an integer number (16436767050).

Almost surely, 2^{2548793278080} is an apocalyptic number.

2548793278080 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 2548793278080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5259765456000).

2548793278080 is an abundant number, since it is smaller than the sum of its proper divisors (7970737633920).

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

2548793278080 is an equidigital number, since it uses as much as digits as its factorization.

2548793278080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79046 (or 79025 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 2548793278080 in words is "two trillion, five hundred forty-eight billion, seven hundred ninety-three million, two hundred seventy-eight thousand, eighty".