2167640928 has 72 divisors (see below), whose sum is σ = 6183934848. Its totient is φ = 720237312.

The previous prime is 2167640927. The next prime is 2167640929. The reversal of 2167640928 is 8290467612.

It is a happy number.

2167640928 is a `hidden beast` number, since 216 + 7 + 6 + 409 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (2167640927) and next prime (2167640929).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2167640927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79425 + ... + 103167.

It is an arithmetic number, because the mean of its divisors is an integer number (85887984).

Almost surely, 2^2167640928 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 2167640928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3091967424).

2167640928 is an abundant number, since it is smaller than the sum of its proper divisors (4016293920).

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

2167640928 is a wasteful number, since it uses less digits than its factorization.

2167640928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24076 (or 24065 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2167640928 is about 46557.9308818594. The cubic root of 2167640928 is about 1294.1832683976.

The spelling of 2167640928 in words is "two billion, one hundred sixty-seven million, six hundred forty thousand, nine hundred twenty-eight".