2106413794800 has 360 divisors, whose sum is σ = 8430758130080. Its totient is φ = 477048268800.

The previous prime is 2106413794747. The next prime is 2106413794811. The reversal of 2106413794800 is 84973146012.

2106413794800 is a `hidden beast` number, since 210 + 64 + 1 + 379 + 4 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2363370 + ... + 3130230.

Almost surely, 2^{2106413794800} is an apocalyptic number.

2106413794800 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 2106413794800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4215379065040).

2106413794800 is an abundant number, since it is smaller than the sum of its proper divisors (6324344335280).

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

2106413794800 is a wasteful number, since it uses less digits than its factorization.

2106413794800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767001 (or 766987 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 2106413794800 in words is "two trillion, one hundred six billion, four hundred thirteen million, seven hundred ninety-four thousand, eight hundred".