2053877760 has 312 divisors, whose sum is σ = 7774110864. Its totient is φ = 497418240.

The previous prime is 2053877731. The next prime is 2053877801. The reversal of 2053877760 is 677783502.

2053877760 is a `hidden beast` number, since 205 + 387 + 7 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2027014 + ... + 2028026.

It is an arithmetic number, because the mean of its divisors is an integer number (24917022).

Almost surely, 2^2053877760 is an apocalyptic number.

2053877760 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 2053877760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3887055432).

2053877760 is an abundant number, since it is smaller than the sum of its proper divisors (5720233104).

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

2053877760 is a wasteful number, since it uses less digits than its factorization.

2053877760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 2053877760 is about 45319.7281545245. The cubic root of 2053877760 is about 1271.1345721169.

The spelling of 2053877760 in words is "two billion, fifty-three million, eight hundred seventy-seven thousand, seven hundred sixty".