2205398976 has 224 divisors, whose sum is σ = 6734665728. Its totient is φ = 630389760.

The previous prime is 2205398971. The next prime is 2205398977. The reversal of 2205398976 is 6798935022.

2205398976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2205398971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4031535 + ... + 4032081.

It is an arithmetic number, because the mean of its divisors is an integer number (30065472).

Almost surely, 2^2205398976 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 2205398976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3367332864).

2205398976 is an abundant number, since it is smaller than the sum of its proper divisors (4529266752).

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

2205398976 is a wasteful number, since it uses less digits than its factorization.

2205398976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The square root of 2205398976 is about 46961.6756089473. The cubic root of 2205398976 is about 1301.6544962083.

The spelling of 2205398976 in words is "two billion, two hundred five million, three hundred ninety-eight thousand, nine hundred seventy-six".