2891627172 has 288 divisors, whose sum is σ = 9206555904. Its totient is φ = 746496000.

The previous prime is 2891627143. The next prime is 2891627191. The reversal of 2891627172 is 2717261982.

It is a happy number.

2891627172 is a `hidden beast` number, since 2 + 8 + 9 + 1 + 627 + 17 + 2 = 666.

2891627172 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17739963 + ... + 17740125.

It is an arithmetic number, because the mean of its divisors is an integer number (31967208).

Almost surely, 2^2891627172 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 2891627172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4603277952).

2891627172 is an abundant number, since it is smaller than the sum of its proper divisors (6314928732).

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

2891627172 is a wasteful number, since it uses less digits than its factorization.

2891627172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 334 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 2891627172 is about 53773.8521216399. The cubic root of 2891627172 is about 1424.6694088141.

The spelling of 2891627172 in words is "two billion, eight hundred ninety-one million, six hundred twenty-seven thousand, one hundred seventy-two".