2124195920 has 160 divisors (see below), whose sum is σ = 6179604480. Its totient is φ = 659704320.

The previous prime is 2124195907. The next prime is 2124195923. The reversal of 2124195920 is 295914212.

It is a Cunningham number, because it is equal to 46089²-1.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124195923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2580629 + ... + 2581451.

It is an arithmetic number, because the mean of its divisors is an integer number (38622528).

Almost surely, 2^2124195920 is an apocalyptic number.

2124195920 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 2124195920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3089802240).

2124195920 is an abundant number, since it is smaller than the sum of its proper divisors (4055408560).

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

2124195920 is a wasteful number, since it uses less digits than its factorization.

2124195920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 2124195920 is about 46088.9999891514. Note that the first 4 decimals coincide. The cubic root of 2124195920 is about 1285.4786167462.

The spelling of 2124195920 in words is "two billion, one hundred twenty-four million, one hundred ninety-five thousand, nine hundred twenty".