2838755808 has 480 divisors, whose sum is σ = 10147737600. Its totient is φ = 777288960.

The previous prime is 2838755807. The next prime is 2838755813. The reversal of 2838755808 is 8085578382.

It is a happy number.

2838755808 is a `hidden beast` number, since 2 + 8 + 3 + 87 + 558 + 0 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2838755807) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 27560685 + ... + 27560787.

It is an arithmetic number, because the mean of its divisors is an integer number (21141120).

Almost surely, 2^2838755808 is an apocalyptic number.

2838755808 is a gapful number since it is divisible by the number (28) 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 2838755808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5073868800).

2838755808 is an abundant number, since it is smaller than the sum of its proper divisors (7308981792).

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

2838755808 is a wasteful number, since it uses less digits than its factorization.

2838755808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The square root of 2838755808 is about 53279.9756756701. The cubic root of 2838755808 is about 1415.9329183964.

The spelling of 2838755808 in words is "two billion, eight hundred thirty-eight million, seven hundred fifty-five thousand, eight hundred eight".