2135581464 has 96 divisors (see below), whose sum is σ = 5677761600. Its totient is φ = 669134400.

The previous prime is 2135581457. The next prime is 2135581529. The reversal of 2135581464 is 4641855312.

2135581464 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 747639 + ... + 750489.

It is an arithmetic number, because the mean of its divisors is an integer number (59143350).

Almost surely, 2^2135581464 is an apocalyptic number.

2135581464 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 2135581464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2838880800).

2135581464 is an abundant number, since it is smaller than the sum of its proper divisors (3542180136).

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

2135581464 is a wasteful number, since it uses less digits than its factorization.

2135581464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2965 (or 2938 counting only the distinct ones).

The product of its digits is 115200, while the sum is 39.

The square root of 2135581464 is about 46212.3518553211. The cubic root of 2135581464 is about 1287.7712178682.

The spelling of 2135581464 in words is "two billion, one hundred thirty-five million, five hundred eighty-one thousand, four hundred sixty-four".