2678973696 has 288 divisors, whose sum is σ = 9589466880. Its totient is φ = 720175104.

The previous prime is 2678973683. The next prime is 2678973707. The reversal of 2678973696 is 6963798762.

2678973696 is a `hidden beast` number, since 267 + 8 + 9 + 7 + 369 + 6 = 666.

2678973696 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 820900 + ... + 824156.

It is an arithmetic number, because the mean of its divisors is an integer number (33296760).

Almost surely, 2^2678973696 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 2678973696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4794733440).

2678973696 is an abundant number, since it is smaller than the sum of its proper divisors (6910493184).

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

2678973696 is a wasteful number, since it uses less digits than its factorization.

2678973696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3306 (or 3286 counting only the distinct ones).

The product of its digits is 41150592, while the sum is 63.

The square root of 2678973696 is about 51758.8030773510. The cubic root of 2678973696 is about 1388.8525796455.

The spelling of 2678973696 in words is "two billion, six hundred seventy-eight million, nine hundred seventy-three thousand, six hundred ninety-six".