2601282816 has 144 divisors (see below), whose sum is σ = 8392009920. Its totient is φ = 788244480.

The previous prime is 2601282809. The next prime is 2601282899. The reversal of 2601282816 is 6182821062.

2601282816 is a `hidden beast` number, since 2 + 601 + 28 + 28 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58926 + ... + 93138.

Almost surely, 2^2601282816 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 2601282816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4196004960).

2601282816 is an abundant number, since it is smaller than the sum of its proper divisors (5790727104).

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

2601282816 is a wasteful number, since it uses less digits than its factorization.

2601282816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34249 (or 34229 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2601282816 is about 51002.7726305149. The cubic root of 2601282816 is about 1375.2949786531.

The spelling of 2601282816 in words is "two billion, six hundred one million, two hundred eighty-two thousand, eight hundred sixteen".