2157677136 has 80 divisors (see below), whose sum is σ = 6200853120. Its totient is φ = 718352640.

The previous prime is 2157677101. The next prime is 2157677147. The reversal of 2157677136 is 6317767512.

2157677136 is a `hidden beast` number, since 2 + 1 + 576 + 7 + 71 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2157677091 and 2157677100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 422116 + ... + 427196.

It is an arithmetic number, because the mean of its divisors is an integer number (77510664).

Almost surely, 2^2157677136 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 2157677136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3100426560).

2157677136 is an abundant number, since it is smaller than the sum of its proper divisors (4043175984).

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

2157677136 is a wasteful number, since it uses less digits than its factorization.

2157677136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6081 (or 6069 counting only the distinct ones).

The product of its digits is 370440, while the sum is 45.

The square root of 2157677136 is about 46450.8033945593. The cubic root of 2157677136 is about 1292.1972720019.

The spelling of 2157677136 in words is "two billion, one hundred fifty-seven million, six hundred seventy-seven thousand, one hundred thirty-six".