2054939777280 has 1440 divisors, whose sum is σ = 8625869683200. Its totient is φ = 462516977664.

The previous prime is 2054939777269. The next prime is 2054939777281. The reversal of 2054939777280 is 827779394502.

2054939777280 is a `hidden beast` number, since 2 + 0 + 5 + 493 + 9 + 77 + 72 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is not an unprimeable number, because it can be changed into a prime (2054939777281) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 742658457 + ... + 742661223.

It is an arithmetic number, because the mean of its divisors is an integer number (5990187280).

Almost surely, 2^{2054939777280} is an apocalyptic number.

2054939777280 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 2054939777280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4312934841600).

2054939777280 is an abundant number, since it is smaller than the sum of its proper divisors (6570929905920).

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

2054939777280 is a wasteful number, since it uses less digits than its factorization.

2054939777280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2861 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 2054939777280 in words is "two trillion, fifty-four billion, nine hundred thirty-nine million, seven hundred seventy-seven thousand, two hundred eighty".