2201672305404 has 288 divisors, whose sum is σ = 6929551399680. Its totient is φ = 579069388800.

The previous prime is 2201672305369. The next prime is 2201672305423. The reversal of 2201672305404 is 4045032761022.

2201672305404 is a `hidden beast` number, since 2 + 2 + 0 + 16 + 7 + 230 + 5 + 404 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95468427 + ... + 95491485.

It is an arithmetic number, because the mean of its divisors is an integer number (24060942360).

Almost surely, 2^{2201672305404} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2201672305404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3464775699840).

2201672305404 is an abundant number, since it is smaller than the sum of its proper divisors (4727879094276).

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

2201672305404 is a wasteful number, since it uses less digits than its factorization.

2201672305404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24201 (or 24196 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 2201672305404 in words is "two trillion, two hundred one billion, six hundred seventy-two million, three hundred five thousand, four hundred four".