2830049664 has 96 divisors (see below), whose sum is σ = 8140242600. Its totient is φ = 870764544.

The previous prime is 2830049657. The next prime is 2830049711. The reversal of 2830049664 is 4669400382.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2830049664² = 16018362201413025792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43092 + ... + 86700.

Almost surely, 2^2830049664 is an apocalyptic number.

2830049664 is a gapful number since it is divisible by the number (24) 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 2830049664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4070121300).

2830049664 is an abundant number, since it is smaller than the sum of its proper divisors (5310192936).

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

2830049664 is a wasteful number, since it uses less digits than its factorization.

2830049664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43652 (or 43627 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 2830049664 is about 53198.2110977428. The cubic root of 2830049664 is about 1414.4839338887.

The spelling of 2830049664 in words is "two billion, eight hundred thirty million, forty-nine thousand, six hundred sixty-four".