2036164032 has 252 divisors, whose sum is σ = 7148367720. Its totient is φ = 550996992.

The previous prime is 2036164021. The next prime is 2036164087. The reversal of 2036164032 is 2304616302.

2036164032 is a `hidden beast` number, since 2 + 0 + 3 + 616 + 40 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a junction number, because it is equal to n+sod(n) for n = 2036163987 and 2036164005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 534358 + ... + 538154.

Almost surely, 2^2036164032 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 2036164032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3574183860).

2036164032 is an abundant number, since it is smaller than the sum of its proper divisors (5112203688).

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

2036164032 is a wasteful number, since it uses less digits than its factorization.

2036164032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3848 (or 3828 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 2036164032 is about 45123.8743017485. The cubic root of 2036164032 is about 1267.4697036513.

The spelling of 2036164032 in words is "two billion, thirty-six million, one hundred sixty-four thousand, thirty-two".