2573779104 has 288 divisors, whose sum is σ = 8387184960. Its totient is φ = 762918912.

The previous prime is 2573779067. The next prime is 2573779111. The reversal of 2573779104 is 4019773752.

2573779104 is a `hidden beast` number, since 2 + 573 + 7 + 79 + 1 + 0 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2573779104.

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 47 ways as a sum of consecutive naturals, for example, 35257212 + ... + 35257284.

It is an arithmetic number, because the mean of its divisors is an integer number (29122170).

Almost surely, 2^2573779104 is an apocalyptic number.

2573779104 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 2573779104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4193592480).

2573779104 is an abundant number, since it is smaller than the sum of its proper divisors (5813405856).

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

2573779104 is a wasteful number, since it uses less digits than its factorization.

2573779104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 2573779104 is about 50732.4265534382. The cubic root of 2573779104 is about 1370.4307353224.

The spelling of 2573779104 in words is "two billion, five hundred seventy-three million, seven hundred seventy-nine thousand, one hundred four".