2124698333940 has 288 divisors, whose sum is σ = 7936614766080. Its totient is φ = 448038908928.

The previous prime is 2124698333921. The next prime is 2124698333987. The reversal of 2124698333940 is 493338964212.

2124698333940 is a `hidden beast` number, since 2 + 1 + 246 + 9 + 8 + 3 + 3 + 394 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30218746 + ... + 30288974.

It is an arithmetic number, because the mean of its divisors is an integer number (27557690160).

Almost surely, 2^{2124698333940} is an apocalyptic number.

2124698333940 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 2124698333940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3968307383040).

2124698333940 is an abundant number, since it is smaller than the sum of its proper divisors (5811916432140).

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

2124698333940 is a wasteful number, since it uses less digits than its factorization.

2124698333940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72111 (or 72106 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 2124698333940 in words is "two trillion, one hundred twenty-four billion, six hundred ninety-eight million, three hundred thirty-three thousand, nine hundred forty".