2663645952 has 216 divisors, whose sum is σ = 8222864832. Its totient is φ = 758988800.

The previous prime is 2663645951. The next prime is 2663645977. The reversal of 2663645952 is 2595463662.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2663645951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2440927 + ... + 2442017.

Almost surely, 2^2663645952 is an apocalyptic number.

2663645952 is a gapful number since it is divisible by the number (22) 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 2663645952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4111432416).

2663645952 is an abundant number, since it is smaller than the sum of its proper divisors (5559218880).

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

2663645952 is a wasteful number, since it uses less digits than its factorization.

2663645952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1124 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 48.

The square root of 2663645952 is about 51610.5217179598. The cubic root of 2663645952 is about 1386.1987392239.

The spelling of 2663645952 in words is "two billion, six hundred sixty-three million, six hundred forty-five thousand, nine hundred fifty-two".