2114181648 has 160 divisors (see below), whose sum is σ = 6344832000. Its totient is φ = 681644160.

The previous prime is 2114181613. The next prime is 2114181673. The reversal of 2114181648 is 8461814112.

2114181648 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 1 + 8 + 1 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1083778 + ... + 1085726.

It is an arithmetic number, because the mean of its divisors is an integer number (39655200).

Almost surely, 2^2114181648 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 2114181648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3172416000).

2114181648 is an abundant number, since it is smaller than the sum of its proper divisors (4230650352).

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

2114181648 is an equidigital number, since it uses as much as digits as its factorization.

2114181648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2009 (or 1985 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 2114181648 is about 45980.2310564007. The cubic root of 2114181648 is about 1283.4553546464.

The spelling of 2114181648 in words is "two billion, one hundred fourteen million, one hundred eighty-one thousand, six hundred forty-eight".