2164381233924 has 384 divisors, whose sum is σ = 6642424922112. Its totient is φ = 532278190080.

The previous prime is 2164381233919. The next prime is 2164381233929. The reversal of 2164381233924 is 4293321834612.

It is an interprime number because it is at equal distance from previous prime (2164381233919) and next prime (2164381233929).

It is a super-2 number, since 2×2164381233924² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2164381233929) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1256169327 + ... + 1256171049.

It is an arithmetic number, because the mean of its divisors is an integer number (17297981568).

Almost surely, 2^{2164381233924} 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 2164381233924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3321212461056).

2164381233924 is an abundant number, since it is smaller than the sum of its proper divisors (4478043688188).

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

2164381233924 is a wasteful number, since it uses less digits than its factorization.

2164381233924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2355 (or 2353 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 48.

The spelling of 2164381233924 in words is "two trillion, one hundred sixty-four billion, three hundred eighty-one million, two hundred thirty-three thousand, nine hundred twenty-four".