2601816064 has 39 divisors (see below), whose sum is σ = 5209533337. Its totient is φ = 1299275776.

The previous prime is 2601816059. The next prime is 2601816101. The reversal of 2601816064 is 4606181062.

The square root of 2601816064 is 51008.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1261670400 + 1340145664 = 35520^2 + 36608^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 3264114 + ... + 3264910.

Almost surely, 2^2601816064 is an apocalyptic number.

2601816064 is the 51008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2601816064

2601816064 is an abundant number, since it is smaller than the sum of its proper divisors (2607717273).

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

2601816064 is an frugal number, since it uses more digits than its factorization.

2601816064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The cubic root of 2601816064 is about 1375.3889480831.

The spelling of 2601816064 in words is "two billion, six hundred one million, eight hundred sixteen thousand, sixty-four".