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2004344111220 = 223511232916972683
BaseRepresentation
bin11101001010101100001…
…110000000000001110100
321002121120012001120021020
4131022230032000001310
5230314344043024340
64132441042221140
7264544341561243
oct35125416000164
97077505046236
102004344111220
11703045aa7950
122845569547b0
13117016559799
146d0217ba95a
153720e5769d0
hex1d2ac380074

2004344111220 has 384 divisors, whose sum is σ = 6615203696640. Its totient is φ = 448317112320.

The previous prime is 2004344111149. The next prime is 2004344111221. The reversal of 2004344111220 is 221114434002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004344111221) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 747051999 + ... + 747054681.

It is an arithmetic number, because the mean of its divisors is an integer number (17227092960).

Almost surely, 22004344111220 is an apocalyptic number.

2004344111220 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 2004344111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3307601848320).

2004344111220 is an abundant number, since it is smaller than the sum of its proper divisors (4610859585420).

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

2004344111220 is a wasteful number, since it uses less digits than its factorization.

2004344111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4455 (or 4453 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 2004344111220 its reverse (221114434002), we get a palindrome (2225458545222).

The spelling of 2004344111220 in words is "two trillion, four billion, three hundred forty-four million, one hundred eleven thousand, two hundred twenty".