2679544704 has 64 divisors (see below), whose sum is σ = 7151489280. Its totient is φ = 888921600.

The previous prime is 2679544687. The next prime is 2679544717. The reversal of 2679544704 is 4074459762.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64489 + ... + 97559.

It is an arithmetic number, because the mean of its divisors is an integer number (111742020).

Almost surely, 2^2679544704 is an apocalyptic number.

2679544704 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 2679544704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3575744640).

2679544704 is an abundant number, since it is smaller than the sum of its proper divisors (4471944576).

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

2679544704 is a wasteful number, since it uses less digits than its factorization.

2679544704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33299 (or 33287 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The square root of 2679544704 is about 51764.3188306385. The cubic root of 2679544704 is about 1388.9512479773.

The spelling of 2679544704 in words is "two billion, six hundred seventy-nine million, five hundred forty-four thousand, seven hundred four".