2205870468984 has 384 divisors, whose sum is σ = 7885955750400. Its totient is φ = 540748016640.

The previous prime is 2205870468983. The next prime is 2205870469001. The reversal of 2205870468984 is 4898640785022.

2205870468984 is a `hidden beast` number, since 2 + 2 + 0 + 5 + 87 + 0 + 468 + 98 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2205870468983) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6430699 + ... + 6765029.

It is an arithmetic number, because the mean of its divisors is an integer number (20536343100).

Almost surely, 2^{2205870468984} is an apocalyptic number.

2205870468984 is a gapful number since it is divisible by the number (24) 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 2205870468984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3942977875200).

2205870468984 is an abundant number, since it is smaller than the sum of its proper divisors (5680085281416).

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

2205870468984 is a wasteful number, since it uses less digits than its factorization.

2205870468984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334435 (or 334428 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 2205870468984 in words is "two trillion, two hundred five billion, eight hundred seventy million, four hundred sixty-eight thousand, nine hundred eighty-four".