2630496816 has 160 divisors (see below), whose sum is σ = 7885209600. Its totient is φ = 838632960.

The previous prime is 2630496811. The next prime is 2630496851. The reversal of 2630496816 is 6186940362.

2630496816 is a `hidden beast` number, since 2 + 630 + 4 + 9 + 6 + 8 + 1 + 6 = 666.

It is a super-2 number, since 2×2630496816² = 13839026997972275712, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2630496811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1190785 + ... + 1192991.

It is an arithmetic number, because the mean of its divisors is an integer number (49282560).

Almost surely, 2^2630496816 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 2630496816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3942604800).

2630496816 is an abundant number, since it is smaller than the sum of its proper divisors (5254712784).

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

2630496816 is a wasteful number, since it uses less digits than its factorization.

2630496816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 2630496816 is about 51288.3692078428. The cubic root of 2630496816 is about 1380.4242929745.

The spelling of 2630496816 in words is "two billion, six hundred thirty million, four hundred ninety-six thousand, eight hundred sixteen".