2669248512 has 256 divisors, whose sum is σ = 9059558400. Its totient is φ = 760872960.

The previous prime is 2669248507. The next prime is 2669248513. The reversal of 2669248512 is 2158429662.

2669248512 is a `hidden beast` number, since 2 + 6 + 6 + 92 + 48 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (256).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2669248513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6192937 + ... + 6193367.

It is an arithmetic number, because the mean of its divisors is an integer number (35388900).

Almost surely, 2^2669248512 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 2669248512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4529779200).

2669248512 is an abundant number, since it is smaller than the sum of its proper divisors (6390309888).

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

2669248512 is an frugal number, since it uses more digits than its factorization.

2669248512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 443 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 2669248512 is about 51664.7705114423. The cubic root of 2669248512 is about 1387.1699422373.

The spelling of 2669248512 in words is "two billion, six hundred sixty-nine million, two hundred forty-eight thousand, five hundred twelve".