2055635460 has 144 divisors (see below), whose sum is σ = 6580828800. Its totient is φ = 517957632.

The previous prime is 2055635459. The next prime is 2055635489. The reversal of 2055635460 is 645365502.

It is a happy number.

2055635460 is a `hidden beast` number, since 2 + 0 + 55 + 63 + 546 + 0 = 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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2212276 + ... + 2213204.

It is an arithmetic number, because the mean of its divisors is an integer number (45700200).

Almost surely, 2^2055635460 is an apocalyptic number.

2055635460 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 2055635460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3290414400).

2055635460 is an abundant number, since it is smaller than the sum of its proper divisors (4525193340).

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

2055635460 is a wasteful number, since it uses less digits than its factorization.

2055635460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 2055635460 is about 45339.1162242936. The cubic root of 2055635460 is about 1271.4970792767.

The spelling of 2055635460 in words is "two billion, fifty-five million, six hundred thirty-five thousand, four hundred sixty".