2135988288 has 336 divisors, whose sum is σ = 7546945536. Its totient is φ = 564157440.

The previous prime is 2135988277. The next prime is 2135988373. The reversal of 2135988288 is 8828895312.

2135988288 is a `hidden beast` number, since 2 + 1 + 359 + 8 + 8 + 288 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2874445 + ... + 2875187.

Almost surely, 2^2135988288 is an apocalyptic number.

2135988288 is a gapful number since it is divisible by the number (28) 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 2135988288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3773472768).

2135988288 is an abundant number, since it is smaller than the sum of its proper divisors (5410957248).

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

2135988288 is a wasteful number, since it uses less digits than its factorization.

2135988288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 809 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 54.

The square root of 2135988288 is about 46216.7533260397. The cubic root of 2135988288 is about 1287.8529852905.

The spelling of 2135988288 in words is "two billion, one hundred thirty-five million, nine hundred eighty-eight thousand, two hundred eighty-eight".