2069429452800 has 768 divisors, whose sum is σ = 7376896419840. Its totient is φ = 510394368000.

The previous prime is 2069429452781. The next prime is 2069429452829. The reversal of 2069429452800 is 82549249602.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×2069429452800² (a number of 25 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 47 ways as a sum of consecutive naturals, for example, 1752268210 + ... + 1752269390.

It is an arithmetic number, because the mean of its divisors is an integer number (9605333880).

Almost surely, 2^{2069429452800} is an apocalyptic number.

2069429452800 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 2069429452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3688448209920).

2069429452800 is an abundant number, since it is smaller than the sum of its proper divisors (5307466967040).

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

2069429452800 is a wasteful number, since it uses less digits than its factorization.

2069429452800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 2069429452800 in words is "two trillion, sixty-nine billion, four hundred twenty-nine million, four hundred fifty-two thousand, eight hundred".