2649231360 has 260 divisors, whose sum is σ = 9502772268. Its totient is φ = 706019328.

The previous prime is 2649231293. The next prime is 2649231367. The reversal of 2649231360 is 631329462.

2649231360 is a `hidden beast` number, since 2 + 64 + 9 + 231 + 360 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 732893184 + 1916338176 = 27072^2 + 43776^2 .

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 (2649231367) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1658082 + ... + 1659678.

Almost surely, 2^2649231360 is an apocalyptic number.

2649231360 is a gapful number since it is divisible by the number (20) 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 2649231360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4751386134).

2649231360 is an abundant number, since it is smaller than the sum of its proper divisors (6853540908).

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

2649231360 is an equidigital number, since it uses as much as digits as its factorization.

2649231360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 2649231360 is about 51470.6844718428. The cubic root of 2649231360 is about 1383.6936963453.

The spelling of 2649231360 in words is "two billion, six hundred forty-nine million, two hundred thirty-one thousand, three hundred sixty".