2054327045904 has 480 divisors, whose sum is σ = 6994592317440. Its totient is φ = 550385280000.

The previous prime is 2054327045893. The next prime is 2054327045921. The reversal of 2054327045904 is 4095407234502.

2054327045904 is a `hidden beast` number, since 2 + 0 + 54 + 3 + 2 + 7 + 0 + 4 + 590 + 4 = 666.

It is a super-2 number, since 2×2054327045904² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2054327045904.

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 95 ways as a sum of consecutive naturals, for example, 290196637 + ... + 290203715.

It is an arithmetic number, because the mean of its divisors is an integer number (14572067328).

Almost surely, 2^{2054327045904} is an apocalyptic number.

2054327045904 is a gapful number since it is divisible by the number (24) 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 2054327045904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3497296158720).

2054327045904 is an abundant number, since it is smaller than the sum of its proper divisors (4940265271536).

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

2054327045904 is a wasteful number, since it uses less digits than its factorization.

2054327045904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7419 (or 7410 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 2054327045904 in words is "two trillion, fifty-four billion, three hundred twenty-seven million, forty-five thousand, nine hundred four".