2124406033920 has 640 divisors, whose sum is σ = 7827570432000. Its totient is φ = 545482506240.

The previous prime is 2124406033913. The next prime is 2124406033961. The reversal of 2124406033920 is 293306044212.

2124406033920 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 40 + 603 + 3 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 863929651 + ... + 863932109.

It is an arithmetic number, because the mean of its divisors is an integer number (12230578800).

Almost surely, 2^{2124406033920} is an apocalyptic number.

2124406033920 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 2124406033920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3913785216000).

2124406033920 is an abundant number, since it is smaller than the sum of its proper divisors (5703164398080).

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

2124406033920 is a wasteful number, since it uses less digits than its factorization.

2124406033920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2951 (or 2929 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 2124406033920 in words is "two trillion, one hundred twenty-four billion, four hundred six million, thirty-three thousand, nine hundred twenty".