2135045440 has 112 divisors (see below), whose sum is σ = 5563575360. Its totient is φ = 773959680.

The previous prime is 2135045431. The next prime is 2135045441. The reversal of 2135045440 is 445405312.

It is a junction number, because it is equal to n+sod(n) for n = 2135045399 and 2135045408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135045441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1438939 + ... + 1440421.

It is an arithmetic number, because the mean of its divisors is an integer number (49674780).

Almost surely, 2^2135045440 is an apocalyptic number.

2135045440 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 2135045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2781787680).

2135045440 is an abundant number, since it is smaller than the sum of its proper divisors (3428529920).

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

2135045440 is a wasteful number, since it uses less digits than its factorization.

2135045440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 2135045440 is about 46206.5519163679. The cubic root of 2135045440 is about 1287.6634667238.

The spelling of 2135045440 in words is "two billion, one hundred thirty-five million, forty-five thousand, four hundred forty".