2649314304 has 528 divisors, whose sum is σ = 9829530240. Its totient is φ = 698720256.

The previous prime is 2649314303. The next prime is 2649314309. The reversal of 2649314304 is 4034139462.

It is a happy number.

2649314304 is a `hidden beast` number, since 2 + 649 + 3 + 1 + 4 + 3 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2649314303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203793402 + ... + 203793414.

Almost surely, 2^2649314304 is an apocalyptic number.

2649314304 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 2649314304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4914765120).

2649314304 is an abundant number, since it is smaller than the sum of its proper divisors (7180215936).

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

2649314304 is an frugal number, since it uses more digits than its factorization.

2649314304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 2649314304 is about 51471.4902057440. The cubic root of 2649314304 is about 1383.7081367466.

The spelling of 2649314304 in words is "two billion, six hundred forty-nine million, three hundred fourteen thousand, three hundred four".