2661944688 has 360 divisors, whose sum is σ = 8818565040. Its totient is φ = 768268800.

The previous prime is 2661944683. The next prime is 2661944693. The reversal of 2661944688 is 8864491662.

It is an interprime number because it is at equal distance from previous prime (2661944683) and next prime (2661944693).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2661944683) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26355838 + ... + 26355938.

It is an arithmetic number, because the mean of its divisors is an integer number (24496014).

Almost surely, 2^2661944688 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 2661944688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4409282520).

2661944688 is an abundant number, since it is smaller than the sum of its proper divisors (6156620352).

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

2661944688 is a wasteful number, since it uses less digits than its factorization.

2661944688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 138 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 2661944688 is about 51594.0373299086. The cubic root of 2661944688 is about 1385.9035558161.

The spelling of 2661944688 in words is "two billion, six hundred sixty-one million, nine hundred forty-four thousand, six hundred eighty-eight".