2669142331200 has 168 divisors, whose sum is σ = 8758217822112. Its totient is φ = 711673210880.

The previous prime is 2669142331181. The next prime is 2669142331241. The reversal of 2669142331200 is 21332419662.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38927347 + ... + 38995853.

Almost surely, 2^{2669142331200} is an apocalyptic number.

2669142331200 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 2669142331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4379108911056).

2669142331200 is an abundant number, since it is smaller than the sum of its proper divisors (6089075490912).

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

2669142331200 is a wasteful number, since it uses less digits than its factorization.

2669142331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76649 (or 76634 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The spelling of 2669142331200 in words is "two trillion, six hundred sixty-nine billion, one hundred forty-two million, three hundred thirty-one thousand, two hundred".