2135606902920 has 640 divisors, whose sum is σ = 7609904121600. Its totient is φ = 536093116416.

The previous prime is 2135606902907. The next prime is 2135606902927. The reversal of 2135606902920 is 292096065312.

2135606902920 is a `hidden beast` number, since 2 + 1 + 3 + 560 + 69 + 0 + 2 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2135606902927) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 1323996034 + ... + 1323997646.

It is an arithmetic number, because the mean of its divisors is an integer number (11890475190).

Almost surely, 2^{2135606902920} is an apocalyptic number.

2135606902920 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 2135606902920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3804952060800).

2135606902920 is an abundant number, since it is smaller than the sum of its proper divisors (5474297218680).

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

2135606902920 is a wasteful number, since it uses less digits than its factorization.

2135606902920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 2135606902920 in words is "two trillion, one hundred thirty-five billion, six hundred six million, nine hundred two thousand, nine hundred twenty".