2669297008224 has 768 divisors, whose sum is σ = 9656672256000. Its totient is φ = 624313958400.

The previous prime is 2669297008211. The next prime is 2669297008247. The reversal of 2669297008224 is 4228007929662.

It is a happy number.

It is a super-2 number, since 2×2669297008224² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 346703127 + ... + 346710825.

It is an arithmetic number, because the mean of its divisors is an integer number (12573792000).

Almost surely, 2^{2669297008224} is an apocalyptic number.

2669297008224 is a gapful number since it is divisible by the number (24) 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 2669297008224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4828336128000).

2669297008224 is an abundant number, since it is smaller than the sum of its proper divisors (6987375247776).

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

2669297008224 is a wasteful number, since it uses less digits than its factorization.

2669297008224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7867 (or 7859 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 57.

The spelling of 2669297008224 in words is "two trillion, six hundred sixty-nine billion, two hundred ninety-seven million, eight thousand, two hundred twenty-four".