2135120020 has 72 divisors (see below), whose sum is σ = 4949039592. Its totient is φ = 773160960.

The previous prime is 2135120011. The next prime is 2135120027. The reversal of 2135120020 is 200215312.

It can be written as a sum of positive squares in 4 ways, for example, as 613651984 + 1521468036 = 24772^2 + 39006^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2135119976 and 2135120003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135120027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 620224 + ... + 623656.

It is an arithmetic number, because the mean of its divisors is an integer number (68736661).

Almost surely, 2^2135120020 is an apocalyptic number.

2135120020 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 2135120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2474519796).

2135120020 is an abundant number, since it is smaller than the sum of its proper divisors (2813919572).

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

2135120020 is a wasteful number, since it uses less digits than its factorization.

2135120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3721 (or 3708 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 2135120020 is about 46207.3589377277. The cubic root of 2135120020 is about 1287.6784598198.

Adding to 2135120020 its reverse (200215312), we get a palindrome (2335335332).

The spelling of 2135120020 in words is "two billion, one hundred thirty-five million, one hundred twenty thousand, twenty".