2135909400 has 96 divisors (see below), whose sum is σ = 6634128960. Its totient is φ = 568474240.

The previous prime is 2135909371. The next prime is 2135909417. The reversal of 2135909400 is 49095312.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 334639 + ... + 340961.

It is an arithmetic number, because the mean of its divisors is an integer number (69105510).

Almost surely, 2^2135909400 is an apocalyptic number.

2135909400 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 2135909400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3317064480).

2135909400 is an abundant number, since it is smaller than the sum of its proper divisors (4498219560).

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

2135909400 is a wasteful number, since it uses less digits than its factorization.

2135909400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6905 (or 6896 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 2135909400 is about 46215.8998614113. The cubic root of 2135909400 is about 1287.8371304287.

The spelling of 2135909400 in words is "two billion, one hundred thirty-five million, nine hundred nine thousand, four hundred".