2054067753384 has 96 divisors (see below), whose sum is σ = 5596137331200. Its totient is φ = 680624392320.

The previous prime is 2054067753371. The next prime is 2054067753401. The reversal of 2054067753384 is 4833577604502.

It is a happy number.

2054067753384 is a `hidden beast` number, since 2 + 0 + 5 + 40 + 67 + 7 + 533 + 8 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2054067753384.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138490849 + ... + 138505679.

It is an arithmetic number, because the mean of its divisors is an integer number (58293097200).

Almost surely, 2^{2054067753384} is an apocalyptic number.

2054067753384 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 2054067753384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2798068665600).

2054067753384 is an abundant number, since it is smaller than the sum of its proper divisors (3542069577816).

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

2054067753384 is a wasteful number, since it uses less digits than its factorization.

2054067753384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26135 (or 26128 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 2054067753384 in words is "two trillion, fifty-four billion, sixty-seven million, seven hundred fifty-three thousand, three hundred eighty-four".