2364121120 has 96 divisors (see below), whose sum is σ = 5657444352. Its totient is φ = 933522432.

The previous prime is 2364121087. The next prime is 2364121153. The reversal of 2364121120 is 211214632.

It is an interprime number because it is at equal distance from previous prime (2364121087) and next prime (2364121153).

It is a junction number, because it is equal to n+sod(n) for n = 2364121091 and 2364121100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6172449 + ... + 6172831.

It is an arithmetic number, because the mean of its divisors is an integer number (58931712).

Almost surely, 2^2364121120 is an apocalyptic number.

2364121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2364121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2828722176).

2364121120 is an abundant number, since it is smaller than the sum of its proper divisors (3293323232).

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

2364121120 is a wasteful number, since it uses less digits than its factorization.

2364121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 2364121120 is about 48622.2286613849. The cubic root of 2364121120 is about 1332.1605676568.

Adding to 2364121120 its reverse (211214632), we get a palindrome (2575335752).

The spelling of 2364121120 in words is "two billion, three hundred sixty-four million, one hundred twenty-one thousand, one hundred twenty".