2135741664 has 192 divisors, whose sum is σ = 6889881600. Its totient is φ = 565636608.

The previous prime is 2135741623. The next prime is 2135741693. The reversal of 2135741664 is 4661475312.

It is a happy number.

It is a super-2 number, since 2×2135741664² = 9122784910690977792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 598317 + ... + 601875.

It is an arithmetic number, because the mean of its divisors is an integer number (35884800).

Almost surely, 2^2135741664 is an apocalyptic number.

2135741664 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 2135741664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3444940800).

2135741664 is an abundant number, since it is smaller than the sum of its proper divisors (4754139936).

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

2135741664 is a wasteful number, since it uses less digits than its factorization.

2135741664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3645 (or 3637 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 2135741664 is about 46214.0851256411. The cubic root of 2135741664 is about 1287.8034176530.

The spelling of 2135741664 in words is "two billion, one hundred thirty-five million, seven hundred forty-one thousand, six hundred sixty-four".