2124311364 has 144 divisors (see below), whose sum is σ = 6722352000. Its totient is φ = 551513088.

The previous prime is 2124311353. The next prime is 2124311369. The reversal of 2124311364 is 4631134212.

It is a happy number.

2124311364 is a `hidden beast` number, since 212 + 431 + 13 + 6 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2124311369) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115687 + ... + 132785.

It is an arithmetic number, because the mean of its divisors is an integer number (46683000).

Almost surely, 2^2124311364 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 2124311364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3361176000).

2124311364 is an abundant number, since it is smaller than the sum of its proper divisors (4598040636).

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

2124311364 is a wasteful number, since it uses less digits than its factorization.

2124311364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17162 (or 17157 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 2124311364 is about 46090.2523750955. The cubic root of 2124311364 is about 1285.5019036919.

Adding to 2124311364 its reverse (4631134212), we get a palindrome (6755445576).

The spelling of 2124311364 in words is "two billion, one hundred twenty-four million, three hundred eleven thousand, three hundred sixty-four".