2628835104 has 144 divisors (see below), whose sum is σ = 8082680256. Its totient is φ = 745920000.

The previous prime is 2628835091. The next prime is 2628835127. The reversal of 2628835104 is 4015388262.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 708454 + ... + 712154.

It is an arithmetic number, because the mean of its divisors is an integer number (56129724).

Almost surely, 2^2628835104 is an apocalyptic number.

2628835104 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 2628835104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4041340128).

2628835104 is an abundant number, since it is smaller than the sum of its proper divisors (5453845152).

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

2628835104 is a wasteful number, since it uses less digits than its factorization.

2628835104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3879 (or 3864 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 2628835104 is about 51272.1669524509. The cubic root of 2628835104 is about 1380.1335556522.

The spelling of 2628835104 in words is "two billion, six hundred twenty-eight million, eight hundred thirty-five thousand, one hundred four".