2678984893008 has 400 divisors, whose sum is σ = 8025833571712. Its totient is φ = 862202880000.

The previous prime is 2678984892923. The next prime is 2678984893009. The reversal of 2678984893008 is 8003984898762.

2678984893008 is a `hidden beast` number, since 2 + 67 + 89 + 8 + 489 + 3 + 0 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2678984893009) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2027996988 + ... + 2027998308.

Almost surely, 2^{2678984893008} 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 2678984893008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4012916785856).

2678984893008 is an abundant number, since it is smaller than the sum of its proper divisors (5346848678704).

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

2678984893008 is a wasteful number, since it uses less digits than its factorization.

2678984893008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 72.

The spelling of 2678984893008 in words is "two trillion, six hundred seventy-eight billion, nine hundred eighty-four million, eight hundred ninety-three thousand, eight".