2837442816 has 216 divisors, whose sum is σ = 8960556696. Its totient is φ = 858193920.

The previous prime is 2837442743. The next prime is 2837442823. The reversal of 2837442816 is 6182447382.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 306950400 + 2530492416 = 17520^2 + 50304^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1826296 + ... + 1827848.

Almost surely, 2^2837442816 is an apocalyptic number.

2837442816 is a gapful number since it is divisible by the number (26) 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 2837442816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4480278348).

2837442816 is an abundant number, since it is smaller than the sum of its proper divisors (6123113880).

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

2837442816 is a wasteful number, since it uses less digits than its factorization.

2837442816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1632 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 2837442816 is about 53267.6526233323. The cubic root of 2837442816 is about 1415.7145838605.

The spelling of 2837442816 in words is "two billion, eight hundred thirty-seven million, four hundred forty-two thousand, eight hundred sixteen".