2136901632 has 192 divisors, whose sum is σ = 6191640000. Its totient is φ = 652738560.

The previous prime is 2136901631. The next prime is 2136901639. The reversal of 2136901632 is 2361096312.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 2136901593 and 2136901602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2136901631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4282119 + ... + 4282617.

It is an arithmetic number, because the mean of its divisors is an integer number (32248125).

Almost surely, 2^2136901632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2136901632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3095820000).

2136901632 is an abundant number, since it is smaller than the sum of its proper divisors (4054738368).

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

2136901632 is a wasteful number, since it uses less digits than its factorization.

2136901632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 2136901632 is about 46226.6333621647. The cubic root of 2136901632 is about 1288.0365201892.

Adding to 2136901632 its reverse (2361096312), we get a palindrome (4497997944).

The spelling of 2136901632 in words is "two billion, one hundred thirty-six million, nine hundred one thousand, six hundred thirty-two".