2205665280 has 576 divisors, whose sum is σ = 9444314880. Its totient is φ = 463601664.

The previous prime is 2205665269. The next prime is 2205665291. The reversal of 2205665280 is 825665022.

It is an interprime number because it is at equal distance from previous prime (2205665269) and next prime (2205665291).

It is a tau number, because it is divible by the number of its divisors (576).

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 47 ways as a sum of consecutive naturals, for example, 8386429 + ... + 8386691.

It is an arithmetic number, because the mean of its divisors is an integer number (16396380).

Almost surely, 2^2205665280 is an apocalyptic number.

2205665280 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 2205665280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4722157440).

2205665280 is an abundant number, since it is smaller than the sum of its proper divisors (7238649600).

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

2205665280 is a wasteful number, since it uses less digits than its factorization.

2205665280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2205665280 is about 46964.5108566032. The cubic root of 2205665280 is about 1301.7068861011.

The spelling of 2205665280 in words is "two billion, two hundred five million, six hundred sixty-five thousand, two hundred eighty".