2649100288 has 78 divisors (see below), whose sum is σ = 5482088862. Its totient is φ = 1279918080.

The previous prime is 2649100271. The next prime is 2649100291. The reversal of 2649100288 is 8820019462.

It can be written as a sum of positive squares in only one way, i.e., 2082279424 + 566820864 = 45632^2 + 23808^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2649100288.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3935920 + ... + 3936592.

Almost surely, 2^2649100288 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 2649100288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2741044431).

2649100288 is an abundant number, since it is smaller than the sum of its proper divisors (2832988574).

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

2649100288 is an frugal number, since it uses more digits than its factorization.

2649100288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 2649100288 is about 51469.4111876171. The cubic root of 2649100288 is about 1383.6708763311.

The spelling of 2649100288 in words is "two billion, six hundred forty-nine million, one hundred thousand, two hundred eighty-eight".