2678289408 has 176 divisors, whose sum is σ = 8046511360. Its totient is φ = 879869952.

The previous prime is 2678289389. The next prime is 2678289409. The reversal of 2678289408 is 8049828762.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2678289409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2017641 + ... + 2018967.

Almost surely, 2^2678289408 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 2678289408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4023255680).

2678289408 is an abundant number, since it is smaller than the sum of its proper divisors (5368221952).

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

2678289408 is a wasteful number, since it uses less digits than its factorization.

2678289408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 2678289408 is about 51752.1923013895. The cubic root of 2678289408 is about 1388.7343184267.

The spelling of 2678289408 in words is "two billion, six hundred seventy-eight million, two hundred eighty-nine thousand, four hundred eight".