2053870560 has 384 divisors, whose sum is σ = 8575580160. Its totient is φ = 448892928.

The previous prime is 2053870529. The next prime is 2053870561. The reversal of 2053870560 is 650783502.

2053870560 is a `hidden beast` number, since 2 + 0 + 538 + 70 + 56 + 0 = 666.

It is a super-3 number, since 3×2053870560³ (a number of 29 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2053870561) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 694044 + ... + 696996.

It is an arithmetic number, because the mean of its divisors is an integer number (22332240).

Almost surely, 2^2053870560 is an apocalyptic number.

2053870560 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 2053870560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4287790080).

2053870560 is an abundant number, since it is smaller than the sum of its proper divisors (6521709600).

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

2053870560 is a wasteful number, since it uses less digits than its factorization.

2053870560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3007 (or 2993 counting only the distinct ones).

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

The square root of 2053870560 is about 45319.6487188504. The cubic root of 2053870560 is about 1271.1330867673.

The spelling of 2053870560 in words is "two billion, fifty-three million, eight hundred seventy thousand, five hundred sixty".