2187181984 has 48 divisors (see below), whose sum is σ = 4671216648. Its totient is φ = 1002074112.

The previous prime is 2187181973. The next prime is 2187181991. The reversal of 2187181984 is 4891817812.

2187181984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 805424400 + 1381757584 = 28380^2 + 37172^2 .

It is a super-2 number, since 2×2187181984² = 9567530062268352512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37804 + ... + 76180.

Almost surely, 2^2187181984 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 2187181984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2335608324).

2187181984 is an abundant number, since it is smaller than the sum of its proper divisors (2484034664).

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

2187181984 is a wasteful number, since it uses less digits than its factorization.

2187181984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38537 (or 38529 counting only the distinct ones).

The product of its digits is 258048, while the sum is 49.

The square root of 2187181984 is about 46767.3174770587. The cubic root of 2187181984 is about 1298.0606158920.

The spelling of 2187181984 in words is "two billion, one hundred eighty-seven million, one hundred eighty-one thousand, nine hundred eighty-four".