2837117382 has 64 divisors (see below), whose sum is σ = 6381137664. Its totient is φ = 833495040.

The previous prime is 2837117363. The next prime is 2837117383.

2837117382 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2837117383) 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 31 ways as a sum of consecutive naturals, for example, 385158 + ... + 392454.

It is an arithmetic number, because the mean of its divisors is an integer number (99705276).

Almost surely, 2^2837117382 is an apocalyptic number.

2837117382 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2837117382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3190568832).

2837117382 is an abundant number, since it is smaller than the sum of its proper divisors (3544020282).

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

2837117382 is a wasteful number, since it uses less digits than its factorization.

2837117382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7493.

The product of its digits is 112896, while the sum is 42.

The square root of 2837117382 is about 53264.5978300785. The cubic root of 2837117382 is about 1415.6604577448.

It can be divided in two parts, 28371 and 17382, that added together give a triangular number (45753 = T₃₀₂).

The spelling of 2837117382 in words is "two billion, eight hundred thirty-seven million, one hundred seventeen thousand, three hundred eighty-two".