2838835080 has 256 divisors, whose sum is σ = 9861868800. Its totient is φ = 725760000.

The previous prime is 2838835079. The next prime is 2838835081. The reversal of 2838835080 is 805388382.

It is an interprime number because it is at equal distance from previous prime (2838835079) and next prime (2838835081).

It is a super-2 number, since 2×2838835080² = 16117969222877212800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2838835081) 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, 2700555 + ... + 2701605.

It is an arithmetic number, because the mean of its divisors is an integer number (38522925).

Almost surely, 2^2838835080 is an apocalyptic number.

2838835080 is a gapful number since it is divisible by the number (20) 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 2838835080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4930934400).

2838835080 is an abundant number, since it is smaller than the sum of its proper divisors (7023033720).

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

2838835080 is a wasteful number, since it uses less digits than its factorization.

2838835080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 2838835080 is about 53280.7195897353. The cubic root of 2838835080 is about 1415.9460982067.

The spelling of 2838835080 in words is "two billion, eight hundred thirty-eight million, eight hundred thirty-five thousand, eighty".