2155667584 has 96 divisors (see below), whose sum is σ = 5157250560. Its totient is φ = 893975040.

The previous prime is 2155667573. The next prime is 2155667587. The reversal of 2155667584 is 4857665512.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2155667587) 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, 188889 + ... + 199975.

It is an arithmetic number, because the mean of its divisors is an integer number (53721360).

Almost surely, 2^2155667584 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 2155667584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2578625280).

2155667584 is an abundant number, since it is smaller than the sum of its proper divisors (3001582976).

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

2155667584 is a wasteful number, since it uses less digits than its factorization.

2155667584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11146 (or 11127 counting only the distinct ones).

The product of its digits is 2016000, while the sum is 49.

The square root of 2155667584 is about 46429.1673843070. The cubic root of 2155667584 is about 1291.7959848734.

The spelling of 2155667584 in words is "two billion, one hundred fifty-five million, six hundred sixty-seven thousand, five hundred eighty-four".