2838096576 has 448 divisors, whose sum is σ = 10270540800. Its totient is φ = 750477312.

The previous prime is 2838096533. The next prime is 2838096577. The reversal of 2838096576 is 6756908382.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2838096577) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12180556 + ... + 12180788.

Almost surely, 2^2838096576 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 2838096576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5135270400).

2838096576 is an abundant number, since it is smaller than the sum of its proper divisors (7432444224).

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

2838096576 is a wasteful number, since it uses less digits than its factorization.

2838096576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 2838096576 is about 53273.7888271521. The cubic root of 2838096576 is about 1415.8233045823.

The spelling of 2838096576 in words is "two billion, eight hundred thirty-eight million, ninety-six thousand, five hundred seventy-six".