2829466368000 has 576 divisors, whose sum is σ = 10474634439360. Its totient is φ = 734109696000.

The previous prime is 2829466367983. The next prime is 2829466368007. The reversal of 2829466368000 is 8636649282.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×2829466368000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2829466368007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85231405 + ... + 85264595.

It is an arithmetic number, because the mean of its divisors is an integer number (18185129235).

Almost surely, 2^{2829466368000} is an apocalyptic number.

2829466368000 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 2829466368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5237317219680).

2829466368000 is an abundant number, since it is smaller than the sum of its proper divisors (7645168071360).

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

2829466368000 is a wasteful number, since it uses less digits than its factorization.

2829466368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33271 (or 33238 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 2829466368000 in words is "two trillion, eight hundred twenty-nine billion, four hundred sixty-six million, three hundred sixty-eight thousand".