2661949008 has 100 divisors (see below), whose sum is σ = 7717982580. Its totient is φ = 885758976.

The previous prime is 2661949007. The next prime is 2661949019. The reversal of 2661949008 is 8009491662.

It is a happy number.

2661949008 is a `hidden beast` number, since 26 + 619 + 4 + 9 + 0 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 327899664 + 2334049344 = 18108^2 + 48312^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2661949007) 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, 917416 + ... + 920312.

Almost surely, 2^2661949008 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 2661949008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3858991290).

2661949008 is an abundant number, since it is smaller than the sum of its proper divisors (5056033572).

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

2661949008 is a wasteful number, since it uses less digits than its factorization.

2661949008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3626 (or 3611 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 2661949008 is about 51594.0791951945. The cubic root of 2661949008 is about 1385.9043055311.

The spelling of 2661949008 in words is "two billion, six hundred sixty-one million, nine hundred forty-nine thousand, eight".