2865379104 has 576 divisors, whose sum is σ = 10810195200. Its totient is φ = 719953920.

The previous prime is 2865379079. The next prime is 2865379109. The reversal of 2865379104 is 4019735682.

2865379104 is a `hidden beast` number, since 2 + 8 + 6 + 537 + 9 + 104 = 666.

2865379104 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

2865379104 is strictly pandigital in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2865379104.

It is not an unprimeable number, because it can be changed into a prime (2865379109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92431569 + ... + 92431599.

It is an arithmetic number, because the mean of its divisors is an integer number (18767700).

It is a 1-persistent number, because it is pandigital, but 2⋅2865379104 = 5730758208 is not.

Almost surely, 2^2865379104 is an apocalyptic number.

2865379104 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 2865379104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5405097600).

2865379104 is an abundant number, since it is smaller than the sum of its proper divisors (7944816096).

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

2865379104 is a wasteful number, since it uses less digits than its factorization.

2865379104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2865379104 is about 53529.2359743720. The cubic root of 2865379104 is about 1420.3455986165.

The spelling of 2865379104 in words is "two billion, eight hundred sixty-five million, three hundred seventy-nine thousand, one hundred four".