2135056320 has 168 divisors, whose sum is σ = 7615970544. Its totient is φ = 569327616.

The previous prime is 2135056307. The next prime is 2135056321. The reversal of 2135056320 is 236505312.

2135056320 is a `hidden beast` number, since 21 + 3 + 5 + 0 + 5 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135056321) 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 23 ways as a sum of consecutive naturals, for example, 64032 + ... + 91488.

It is an arithmetic number, because the mean of its divisors is an integer number (45333158).

Almost surely, 2^2135056320 is an apocalyptic number.

2135056320 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 2135056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3807985272).

2135056320 is an abundant number, since it is smaller than the sum of its proper divisors (5480914224).

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

2135056320 is an equidigital number, since it uses as much as digits as its factorization.

2135056320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27489 (or 27467 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 2135056320 is about 46206.6696484393. The cubic root of 2135056320 is about 1287.6656539926.

The spelling of 2135056320 in words is "two billion, one hundred thirty-five million, fifty-six thousand, three hundred twenty".