2669022400 has 168 divisors, whose sum is σ = 7222662720. Its totient is φ = 962688000.

The previous prime is 2669022379. The next prime is 2669022413. The reversal of 2669022400 is 42209662.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2445855 + ... + 2446945.

It is an arithmetic number, because the mean of its divisors is an integer number (42992040).

Almost surely, 2^2669022400 is an apocalyptic number.

2669022400 is a gapful number since it is divisible by the number (20) 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 2669022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3611331360).

2669022400 is an abundant number, since it is smaller than the sum of its proper divisors (4553640320).

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

2669022400 is a wasteful number, since it uses less digits than its factorization.

2669022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 2669022400 is about 51662.5822041446. The cubic root of 2669022400 is about 1387.1307720832.

The spelling of 2669022400 in words is "two billion, six hundred sixty-nine million, twenty-two thousand, four hundred".