2135973888 has 336 divisors, whose sum is σ = 6798289680. Its totient is φ = 668860416.

The previous prime is 2135973883. The next prime is 2135973893. The reversal of 2135973888 is 8883795312.

2135973888 is a `hidden beast` number, since 2 + 13 + 597 + 38 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2135973883) and next prime (2135973893).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135973883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57729006 + ... + 57729042.

It is an arithmetic number, because the mean of its divisors is an integer number (20233005).

Almost surely, 2^2135973888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2135973888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3399144840).

2135973888 is an abundant number, since it is smaller than the sum of its proper divisors (4662315792).

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

2135973888 is an frugal number, since it uses more digits than its factorization.

2135973888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 71 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 2135973888 is about 46216.5975381139. The cubic root of 2135973888 is about 1287.8500912165.

The spelling of 2135973888 in words is "two billion, one hundred thirty-five million, nine hundred seventy-three thousand, eight hundred eighty-eight".