2806385940000 has 1200 divisors, whose sum is σ = 10876445173440. Its totient is φ = 708238080000.

The previous prime is 2806385939947. The next prime is 2806385940053. The reversal of 2806385940000 is 495836082.

2806385940000 is a `hidden beast` number, since 2 + 8 + 0 + 638 + 5 + 9 + 4 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2806385939947) and next prime (2806385940053).

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 4061339655 + ... + 4061340345.

Almost surely, 2^{2806385940000} is an apocalyptic number.

2806385940000 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 2806385940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5438222586720).

2806385940000 is an abundant number, since it is smaller than the sum of its proper divisors (8070059233440).

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

2806385940000 is a wasteful number, since it uses less digits than its factorization.

2806385940000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 2806385940000 in words is "two trillion, eight hundred six billion, three hundred eighty-five million, nine hundred forty thousand".