2124294720 has 336 divisors, whose sum is σ = 7281550080. Its totient is φ = 524361728.

The previous prime is 2124294719. The next prime is 2124294769. The reversal of 2124294720 is 274924212.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23868436 + ... + 23868524.

It is an arithmetic number, because the mean of its divisors is an integer number (21671280).

Almost surely, 2^2124294720 is an apocalyptic number.

2124294720 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 2124294720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3640775040).

2124294720 is an abundant number, since it is smaller than the sum of its proper divisors (5157255360).

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

2124294720 is a wasteful number, since it uses less digits than its factorization.

2124294720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 2124294720 is about 46090.0718159562. The cubic root of 2124294720 is about 1285.4985463765.

The spelling of 2124294720 in words is "two billion, one hundred twenty-four million, two hundred ninety-four thousand, seven hundred twenty".