2674804614048 has 1152 divisors, whose sum is σ = 9488872673280. Its totient is φ = 698720256000.

The previous prime is 2674804614029. The next prime is 2674804614059. The reversal of 2674804614048 is 8404164084762.

2674804614048 is a `hidden beast` number, since 2 + 67 + 4 + 80 + 461 + 4 + 0 + 48 = 666.

2674804614048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2674804613985 and 2674804614003.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17036971986 + ... + 17036972142.

It is an arithmetic number, because the mean of its divisors is an integer number (8236868640).

Almost surely, 2^{2674804614048} is an apocalyptic number.

2674804614048 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 2674804614048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4744436336640).

2674804614048 is an abundant number, since it is smaller than the sum of its proper divisors (6814068059232).

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

2674804614048 is a wasteful number, since it uses less digits than its factorization.

2674804614048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 2674804614048 in words is "two trillion, six hundred seventy-four billion, eight hundred four million, six hundred fourteen thousand, forty-eight".