2801620064 has 24 divisors (see below), whose sum is σ = 5755503600. Its totient is φ = 1339904896.

The previous prime is 2801620049. The next prime is 2801620069. The reversal of 2801620064 is 4600261082.

2801620064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2801620064³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2801620069) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1902539 + ... + 1904010.

It is an arithmetic number, because the mean of its divisors is an integer number (239812650).

Almost surely, 2^2801620064 is an apocalyptic number.

It is an amenable number.

2801620064 is an abundant number, since it is smaller than the sum of its proper divisors (2953883536).

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

2801620064 is a wasteful number, since it uses less digits than its factorization.

2801620064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3806582 (or 3806574 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 2801620064 is about 52930.3321735279. The cubic root of 2801620064 is about 1409.7315291208.

The spelling of 2801620064 in words is "two billion, eight hundred one million, six hundred twenty thousand, sixty-four".