2904200832000 has 704 divisors, whose sum is σ = 10485350523648. Its totient is φ = 709263360000.

The previous prime is 2904200831999. The next prime is 2904200832067. The reversal of 2904200832000 is 2380024092.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 653949780 + ... + 653954220.

It is an arithmetic number, because the mean of its divisors is an integer number (14893963812).

Almost surely, 2^{2904200832000} is an apocalyptic number.

2904200832000 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 2904200832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5242675261824).

2904200832000 is an abundant number, since it is smaller than the sum of its proper divisors (7581149691648).

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

2904200832000 is a wasteful number, since it uses less digits than its factorization.

2904200832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4623 (or 4595 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 2904200832000 its reverse (2380024092), we get a palindrome (2906580856092).

The spelling of 2904200832000 in words is "two trillion, nine hundred four billion, two hundred million, eight hundred thirty-two thousand".