2649967008 has 96 divisors (see below), whose sum is σ = 7517857536. Its totient is φ = 812479488.

The previous prime is 2649966931. The next prime is 2649967037. The reversal of 2649967008 is 8007699462.

It is a happy number.

2649967008 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 362041 + ... + 369287.

It is an arithmetic number, because the mean of its divisors is an integer number (78311016).

Almost surely, 2^2649967008 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 2649967008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3758928768).

2649967008 is an abundant number, since it is smaller than the sum of its proper divisors (4867890528).

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

2649967008 is a wasteful number, since it uses less digits than its factorization.

2649967008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7566 (or 7558 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The square root of 2649967008 is about 51477.8302573059. The cubic root of 2649967008 is about 1383.8217608235.

The spelling of 2649967008 in words is "two billion, six hundred forty-nine million, nine hundred sixty-seven thousand, eight".