2678241984 has 112 divisors (see below), whose sum is σ = 7895149056. Its totient is φ = 794291200.

The previous prime is 2678241953. The next prime is 2678242001. The reversal of 2678241984 is 4891428762.

2678241984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85774 + ... + 112754.

Almost surely, 2^2678241984 is an apocalyptic number.

2678241984 is a gapful number since it is divisible by the number (24) 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 2678241984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3947574528).

2678241984 is an abundant number, since it is smaller than the sum of its proper divisors (5216907072).

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

2678241984 is a wasteful number, since it uses less digits than its factorization.

2678241984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27054 (or 27044 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 51.

The square root of 2678241984 is about 51751.7341158729. The cubic root of 2678241984 is about 1388.7261216868.

The spelling of 2678241984 in words is "two billion, six hundred seventy-eight million, two hundred forty-one thousand, nine hundred eighty-four".