2106493718400 has 864 divisors, whose sum is σ = 8018961768480. Its totient is φ = 526417920000.

The previous prime is 2106493718393. The next prime is 2106493718419. The reversal of 2106493718400 is 48173946012.

2106493718400 is a `hidden beast` number, since 2 + 10 + 6 + 493 + 71 + 84 + 0 + 0 = 666.

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 107 ways as a sum of consecutive naturals, for example, 2804918025 + ... + 2804918775.

Almost surely, 2^{2106493718400} is an apocalyptic number.

2106493718400 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 2106493718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4009480884240).

2106493718400 is an abundant number, since it is smaller than the sum of its proper divisors (5912468050080).

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

2106493718400 is a wasteful number, since it uses less digits than its factorization.

2106493718400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1115 counting only the distinct ones).

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

The spelling of 2106493718400 in words is "two trillion, one hundred six billion, four hundred ninety-three million, seven hundred eighteen thousand, four hundred".