2205128436 has 96 divisors (see below), whose sum is σ = 5992600320. Its totient is φ = 618123264.

The previous prime is 2205128423. The next prime is 2205128449. The reversal of 2205128436 is 6348215022.

It is an interprime number because it is at equal distance from previous prime (2205128423) and next prime (2205128449).

It is a junction number, because it is equal to n+sod(n) for n = 2205128397 and 2205128406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1023136 + ... + 1025288.

It is an arithmetic number, because the mean of its divisors is an integer number (62422920).

Almost surely, 2^2205128436 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 2205128436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2996300160).

2205128436 is an abundant number, since it is smaller than the sum of its proper divisors (3787471884).

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

2205128436 is a wasteful number, since it uses less digits than its factorization.

2205128436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2393 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 2205128436 is about 46958.7950867566. The cubic root of 2205128436 is about 1301.6012686499.

The spelling of 2205128436 in words is "two billion, two hundred five million, one hundred twenty-eight thousand, four hundred thirty-six".