2135320920 has 512 divisors, whose sum is σ = 7962624000. Its totient is φ = 507133440.

The previous prime is 2135320907. The next prime is 2135320939. The reversal of 2135320920 is 290235312.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 127 ways as a sum of consecutive naturals, for example, 36191851 + ... + 36191909.

It is an arithmetic number, because the mean of its divisors is an integer number (15552000).

Almost surely, 2^2135320920 is an apocalyptic number.

2135320920 is a gapful number since it is divisible by the number (20) 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 2135320920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3981312000).

2135320920 is an abundant number, since it is smaller than the sum of its proper divisors (5827303080).

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

2135320920 is a wasteful number, since it uses less digits than its factorization.

2135320920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 2135320920 is about 46209.5327827495. The cubic root of 2135320920 is about 1287.7188457601.

The spelling of 2135320920 in words is "two billion, one hundred thirty-five million, three hundred twenty thousand, nine hundred twenty".