2004655299920 has 240 divisors, whose sum is σ = 6071496935040. Its totient is φ = 601048221696.

The previous prime is 2004655299893. The next prime is 2004655299923. The reversal of 2004655299920 is 299925564002.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004655299923) 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, 1240742 + ... + 2355578.

It is an arithmetic number, because the mean of its divisors is an integer number (25297903896).

Almost surely, 2^{2004655299920} is an apocalyptic number.

2004655299920 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 2004655299920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3035748467520).

2004655299920 is an abundant number, since it is smaller than the sum of its proper divisors (4066841635120).

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

2004655299920 is a wasteful number, since it uses less digits than its factorization.

2004655299920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114902 (or 1114883 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 53.

The spelling of 2004655299920 in words is "two trillion, four billion, six hundred fifty-five million, two hundred ninety-nine thousand, nine hundred twenty".