2078084976912 has 480 divisors, whose sum is σ = 6985583727360. Its totient is φ = 591471175680.

The previous prime is 2078084976901. The next prime is 2078084976923. The reversal of 2078084976912 is 2196794808702.

2078084976912 is a `hidden beast` number, since 2 + 0 + 7 + 80 + 8 + 497 + 69 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2078084976901) and next prime (2078084976923).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 2078084976912.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3143849862 + ... + 3143850522.

It is an arithmetic number, because the mean of its divisors is an integer number (14553299432).

Almost surely, 2^{2078084976912} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2078084976912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3492791863680).

2078084976912 is an abundant number, since it is smaller than the sum of its proper divisors (4907498750448).

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

2078084976912 is an frugal number, since it uses more digits than its factorization.

2078084976912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 2078084976912 in words is "two trillion, seventy-eight billion, eighty-four million, nine hundred seventy-six thousand, nine hundred twelve".