2794641408 has 288 divisors, whose sum is σ = 8854045200. Its totient is φ = 844038144.

The previous prime is 2794641397. The next prime is 2794641433. The reversal of 2794641408 is 8041464972.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25638858 + ... + 25638966.

Almost surely, 2^2794641408 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 2794641408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4427022600).

2794641408 is an abundant number, since it is smaller than the sum of its proper divisors (6059403792).

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

2794641408 is a wasteful number, since it uses less digits than its factorization.

2794641408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2794641408 is about 52864.3680374598. The cubic root of 2794641408 is about 1408.5600389202.

The spelling of 2794641408 in words is "two billion, seven hundred ninety-four million, six hundred forty-one thousand, four hundred eight".