2135798640 has 120 divisors (see below), whose sum is σ = 7189526448. Its totient is φ = 568212480.

The previous prime is 2135798633. The next prime is 2135798701. The reversal of 2135798640 is 468975312.

2135798640 is a `hidden beast` number, since 2 + 13 + 579 + 8 + 64 + 0 = 666.

2135798640 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

2135798640 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 325795 + ... + 332285.

It is a 1-persistent number, because it is pandigital, but 2⋅2135798640 = 4271597280 is not.

Almost surely, 2^2135798640 is an apocalyptic number.

2135798640 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 2135798640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3594763224).

2135798640 is an abundant number, since it is smaller than the sum of its proper divisors (5053727808).

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

2135798640 is a wasteful number, since it uses less digits than its factorization.

2135798640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6967 (or 6958 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2135798640 is about 46214.7015569721. The cubic root of 2135798640 is about 1287.8148692932.

The spelling of 2135798640 in words is "two billion, one hundred thirty-five million, seven hundred ninety-eight thousand, six hundred forty".