2148414912 has 168 divisors, whose sum is σ = 7344070656. Its totient is φ = 587119104.

The previous prime is 2148414857. The next prime is 2148414913. The reversal of 2148414912 is 2194148412.

2148414912 is a `hidden beast` number, since 21 + 484 + 149 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2148414913) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81153 + ... + 104319.

Almost surely, 2^2148414912 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 2148414912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672035328).

2148414912 is an abundant number, since it is smaller than the sum of its proper divisors (5195655744).

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

2148414912 is a wasteful number, since it uses less digits than its factorization.

2148414912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23215 (or 23202 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 2148414912 is about 46350.9968824836. The cubic root of 2148414912 is about 1290.3456221920.

The spelling of 2148414912 in words is "two billion, one hundred forty-eight million, four hundred fourteen thousand, nine hundred twelve".