2829806952000 has 1792 divisors, whose sum is σ = 11749498675200. Its totient is φ = 585717350400.

The previous prime is 2829806951929. The next prime is 2829806952131. The reversal of 2829806952000 is 2596089282.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7274567806 + ... + 7274568194.

Almost surely, 2^{2829806952000} is an apocalyptic number.

2829806952000 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 2829806952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5874749337600).

2829806952000 is an abundant number, since it is smaller than the sum of its proper divisors (8919691723200).

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

2829806952000 is a wasteful number, since it uses less digits than its factorization.

2829806952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 2829806952000 in words is "two trillion, eight hundred twenty-nine billion, eight hundred six million, nine hundred fifty-two thousand".