2124100320 has 96 divisors (see below), whose sum is σ = 6698401920. Its totient is φ = 565793280.

The previous prime is 2124100313. The next prime is 2124100327. The reversal of 2124100320 is 230014212.

It is an interprime number because it is at equal distance from previous prime (2124100313) and next prime (2124100327).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2124100320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124100327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 560191 + ... + 563969.

It is an arithmetic number, because the mean of its divisors is an integer number (69775020).

Almost surely, 2^2124100320 is an apocalyptic number.

2124100320 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 2124100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3349200960).

2124100320 is an abundant number, since it is smaller than the sum of its proper divisors (4574301600).

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

2124100320 is a wasteful number, since it uses less digits than its factorization.

2124100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4968 (or 4960 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2124100320 is about 46087.9628536563. The cubic root of 2124100320 is about 1285.4593320217.

Adding to 2124100320 its reverse (230014212), we get a palindrome (2354114532).

The spelling of 2124100320 in words is "two billion, one hundred twenty-four million, one hundred thousand, three hundred twenty".