2136839040 has 576 divisors, whose sum is σ = 8788674960. Its totient is φ = 476872704.

The previous prime is 2136838999. The next prime is 2136839041. The reversal of 2136839040 is 409386312.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2136838986 and 2136839004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2136839041) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 18910024 + ... + 18910136.

Almost surely, 2^2136839040 is an apocalyptic number.

2136839040 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 2136839040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4394337480).

2136839040 is an abundant number, since it is smaller than the sum of its proper divisors (6651835920).

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

2136839040 is a wasteful number, since it uses less digits than its factorization.

2136839040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2136839040 is about 46225.9563448935. The cubic root of 2136839040 is about 1288.0239441043.

The spelling of 2136839040 in words is "two billion, one hundred thirty-six million, eight hundred thirty-nine thousand, forty".