2804220518400 has 3360 divisors, whose sum is σ = 13214774200320. Its totient is φ = 573308928000.

The previous prime is 2804220518357. The next prime is 2804220518401. The reversal of 2804220518400 is 48150224082.

2804220518400 is a `hidden beast` number, since 2 + 8 + 0 + 42 + 205 + 1 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2804220518401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 68395622380 + ... + 68395622420.

It is an arithmetic number, because the mean of its divisors is an integer number (3932968512).

Almost surely, 2^{2804220518400} is an apocalyptic number.

2804220518400 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 2804220518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6607387100160).

2804220518400 is an abundant number, since it is smaller than the sum of its proper divisors (10410553681920).

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

2804220518400 is a wasteful number, since it uses less digits than its factorization.

2804220518400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 2804220518400 in words is "two trillion, eight hundred four billion, two hundred twenty million, five hundred eighteen thousand, four hundred".