2054139120 has 240 divisors, whose sum is σ = 7555766400. Its totient is φ = 495982080.

The previous prime is 2054139083. The next prime is 2054139137. The reversal of 2054139120 is 219314502.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3318171 + ... + 3318789.

It is an arithmetic number, because the mean of its divisors is an integer number (31482360).

Almost surely, 2^2054139120 is an apocalyptic number.

2054139120 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 2054139120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3777883200).

2054139120 is an abundant number, since it is smaller than the sum of its proper divisors (5501627280).

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

2054139120 is a wasteful number, since it uses less digits than its factorization.

2054139120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2054139120 is about 45322.6115752391. The cubic root of 2054139120 is about 1271.1884879580.

The spelling of 2054139120 in words is "two billion, fifty-four million, one hundred thirty-nine thousand, one hundred twenty".