2106241382400 has 864 divisors, whose sum is σ = 7583552121600. Its totient is φ = 514252800000.

The previous prime is 2106241382387. The next prime is 2106241382411. The reversal of 2106241382400 is 42831426012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2804582025 + ... + 2804582775.

It is an arithmetic number, because the mean of its divisors is an integer number (8777259400).

Almost surely, 2^{2106241382400} is an apocalyptic number.

2106241382400 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 2106241382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3791776060800).

2106241382400 is an abundant number, since it is smaller than the sum of its proper divisors (5477310739200).

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

2106241382400 is a wasteful number, since it uses less digits than its factorization.

2106241382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 2106241382400 in words is "two trillion, one hundred six billion, two hundred forty-one million, three hundred eighty-two thousand, four hundred".