2135305440 has 72 divisors (see below), whose sum is σ = 7286734728. Its totient is φ = 569414400.

The previous prime is 2135305423. The next prime is 2135305453. The reversal of 2135305440 is 445035312.

2135305440 is a `hidden beast` number, since 213 + 5 + 3 + 0 + 5 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-4 number, since 4×2135305440⁴ (a number of 38 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 739986 + ... + 742865.

It is an arithmetic number, because the mean of its divisors is an integer number (101204649).

Almost surely, 2^2135305440 is an apocalyptic number.

2135305440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2135305440 is an abundant number, since it is smaller than the sum of its proper divisors (5151429288).

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

2135305440 is a wasteful number, since it uses less digits than its factorization.

2135305440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482872 (or 1482861 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2135305440 is about 46209.3652845395. The cubic root of 2135305440 is about 1287.7157339818.

It can be divided in two parts, 213 and 5305440, that added together give a triangular number (5305653 = T₃₂₅₇).

The spelling of 2135305440 in words is "two billion, one hundred thirty-five million, three hundred five thousand, four hundred forty".