2817139104 has 144 divisors (see below), whose sum is σ = 8790890472. Its totient is φ = 850397184.

The previous prime is 2817139103. The next prime is 2817139123. The reversal of 2817139104 is 4019317182.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2768864400 + 48274704 = 52620^2 + 6948^2 .

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 not an unprimeable number, because it can be changed into a prime (2817139103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191334 + ... + 205530.

Almost surely, 2^2817139104 is an apocalyptic number.

2817139104 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 2817139104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4395445236).

2817139104 is an abundant number, since it is smaller than the sum of its proper divisors (5973751368).

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

2817139104 is a wasteful number, since it uses less digits than its factorization.

2817139104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14279 (or 14268 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 2817139104 is about 53076.7284598439. The cubic root of 2817139104 is about 1412.3297172646.

The spelling of 2817139104 in words is "two billion, eight hundred seventeen million, one hundred thirty-nine thousand, one hundred four".