2124346634400 has 288 divisors, whose sum is σ = 7280820872640. Its totient is φ = 536519393280.

The previous prime is 2124346634369. The next prime is 2124346634407. The reversal of 2124346634400 is 44366434212.

It is not an unprimeable number, because it can be changed into a prime (2124346634407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 289693134 + ... + 289700466.

It is an arithmetic number, because the mean of its divisors is an integer number (25280628030).

Almost surely, 2^{2124346634400} is an apocalyptic number.

2124346634400 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 2124346634400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3640410436320).

2124346634400 is an abundant number, since it is smaller than the sum of its proper divisors (5156474238240).

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

2124346634400 is a wasteful number, since it uses less digits than its factorization.

2124346634400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13728 (or 13715 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 39.

The spelling of 2124346634400 in words is "two trillion, one hundred twenty-four billion, three hundred forty-six million, six hundred thirty-four thousand, four hundred".