2054161440 has 144 divisors (see below), whose sum is σ = 7378862400. Its totient is φ = 518939136.

The previous prime is 2054161433. The next prime is 2054161451. The reversal of 2054161440 is 441614502.

2054161440 is a `hidden beast` number, since 2 + 0 + 5 + 4 + 1 + 614 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 10180 + ... + 64899.

It is an arithmetic number, because the mean of its divisors is an integer number (51242100).

Almost surely, 2^2054161440 is an apocalyptic number.

2054161440 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 2054161440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3689431200).

2054161440 is an abundant number, since it is smaller than the sum of its proper divisors (5324700960).

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

2054161440 is a wasteful number, since it uses less digits than its factorization.

2054161440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75119 (or 75108 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2054161440 is about 45322.8578092776. The cubic root of 2054161440 is about 1271.1930921292.

Adding to 2054161440 its reverse (441614502), we get a palindrome (2495775942).

The spelling of 2054161440 in words is "two billion, fifty-four million, one hundred sixty-one thousand, four hundred forty".