2054765160 has 192 divisors, whose sum is σ = 7672579200. Its totient is φ = 467163648.

The previous prime is 2054765077. The next prime is 2054765177. The reversal of 2054765160 is 615674502.

It is a happy number.

2054765160 is a `hidden beast` number, since 2 + 0 + 547 + 6 + 51 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 494371 + ... + 498509.

It is an arithmetic number, because the mean of its divisors is an integer number (39961350).

Almost surely, 2^2054765160 is an apocalyptic number.

2054765160 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 2054765160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3836289600).

2054765160 is an abundant number, since it is smaller than the sum of its proper divisors (5617814040).

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

2054765160 is a wasteful number, since it uses less digits than its factorization.

2054765160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4360 (or 4353 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2054765160 is about 45329.5175354867. The cubic root of 2054765160 is about 1271.3176148836.

The spelling of 2054765160 in words is "two billion, fifty-four million, seven hundred sixty-five thousand, one hundred sixty".