2054036160 has 336 divisors, whose sum is σ = 8045256960. Its totient is φ = 476129280.

The previous prime is 2054036141. The next prime is 2054036189. The reversal of 2054036160 is 616304502.

2054036160 is a `hidden beast` number, since 2 + 0 + 5 + 40 + 3 + 616 + 0 = 666.

It is a super-3 number, since 3×2054036160³ (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 727231 + ... + 730049.

Almost surely, 2^2054036160 is an apocalyptic number.

2054036160 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 2054036160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4022628480).

2054036160 is an abundant number, since it is smaller than the sum of its proper divisors (5991220800).

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

2054036160 is a wasteful number, since it uses less digits than its factorization.

2054036160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2876 (or 2863 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2054036160 is about 45321.4757041295. The cubic root of 2054036160 is about 1271.1672489302.

The spelling of 2054036160 in words is "two billion, fifty-four million, thirty-six thousand, one hundred sixty".