2135582064 has 640 divisors, whose sum is σ = 8380416000. Its totient is φ = 503884800.

The previous prime is 2135582063. The next prime is 2135582081. The reversal of 2135582064 is 4602855312.

2135582064 is a `hidden beast` number, since 2 + 13 + 5 + 582 + 0 + 64 = 666.

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 (2135582063) 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 127 ways as a sum of consecutive naturals, for example, 19592442 + ... + 19592550.

It is an arithmetic number, because the mean of its divisors is an integer number (13094400).

Almost surely, 2^2135582064 is an apocalyptic number.

2135582064 is a gapful number since it is divisible by the number (24) 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 2135582064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4190208000).

2135582064 is an abundant number, since it is smaller than the sum of its proper divisors (6244833936).

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

2135582064 is a wasteful number, since it uses less digits than its factorization.

2135582064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2135582064 is about 46212.3583470915. The cubic root of 2135582064 is about 1287.7713384696.

The spelling of 2135582064 in words is "two billion, one hundred thirty-five million, five hundred eighty-two thousand, sixty-four".