2835746816 has 156 divisors (see below), whose sum is σ = 6723172800. Its totient is φ = 1192181760.

The previous prime is 2835746779. The next prime is 2835746839. The reversal of 2835746816 is 6186475382.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14249885 + ... + 14250083.

Almost surely, 2^2835746816 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 2835746816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3361586400).

2835746816 is an abundant number, since it is smaller than the sum of its proper divisors (3887425984).

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

2835746816 is an equidigital number, since it uses as much as digits as its factorization.

2835746816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 279 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 50.

The square root of 2835746816 is about 53251.7306385436. The cubic root of 2835746816 is about 1415.4324600569.

The spelling of 2835746816 in words is "two billion, eight hundred thirty-five million, seven hundred forty-six thousand, eight hundred sixteen".