2053255680 has 480 divisors, whose sum is σ = 8426246400. Its totient is φ = 452100096.

The previous prime is 2053255679. The next prime is 2053255697. The reversal of 2053255680 is 865523502.

It is a happy number.

2053255680 is a `hidden beast` number, since 20 + 5 + 3 + 2 + 556 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4676901 + ... + 4677339.

It is an arithmetic number, because the mean of its divisors is an integer number (17554680).

Almost surely, 2^2053255680 is an apocalyptic number.

2053255680 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 2053255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4213123200).

2053255680 is an abundant number, since it is smaller than the sum of its proper divisors (6372990720).

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

2053255680 is a wasteful number, since it uses less digits than its factorization.

2053255680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 2053255680 is about 45312.8643985348. The cubic root of 2053255680 is about 1271.0062251014.

The spelling of 2053255680 in words is "two billion, fifty-three million, two hundred fifty-five thousand, six hundred eighty".