2136524340 has 96 divisors (see below), whose sum is σ = 6292048896. Its totient is φ = 540933120.

The previous prime is 2136524333. The next prime is 2136524413. The reversal of 2136524340 is 434256312.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2136524298 and 2136524307.

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 31 ways as a sum of consecutive naturals, for example, 87744 + ... + 109416.

It is an arithmetic number, because the mean of its divisors is an integer number (65542176).

Almost surely, 2^2136524340 is an apocalyptic number.

2136524340 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 2136524340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3146024448).

2136524340 is an abundant number, since it is smaller than the sum of its proper divisors (4155524556).

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

2136524340 is a wasteful number, since it uses less digits than its factorization.

2136524340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21769 (or 21767 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 2136524340 is about 46222.5522878173. The cubic root of 2136524340 is about 1287.9607103546.

The spelling of 2136524340 in words is "two billion, one hundred thirty-six million, five hundred twenty-four thousand, three hundred forty".