2202781672 has 64 divisors (see below), whose sum is σ = 5187168000. Its totient is φ = 871416000.

The previous prime is 2202781667. The next prime is 2202781673. The reversal of 2202781672 is 2761872022.

2202781672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2202781672³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2202781673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4797 + ... + 66547.

It is an arithmetic number, because the mean of its divisors is an integer number (81049500).

Almost surely, 2^2202781672 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 2202781672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2593584000).

2202781672 is an abundant number, since it is smaller than the sum of its proper divisors (2984386328).

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

2202781672 is a wasteful number, since it uses less digits than its factorization.

2202781672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61791 (or 61773 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The square root of 2202781672 is about 46933.8009541098. The cubic root of 2202781672 is about 1301.1393703507.

The spelling of 2202781672 in words is "two billion, two hundred two million, seven hundred eighty-one thousand, six hundred seventy-two".