2221879296 has 208 divisors, whose sum is σ = 7295101184. Its totient is φ = 585695232.

The previous prime is 2221879291. The next prime is 2221879301. The reversal of 2221879296 is 6929781222.

It is an interprime number because it is at equal distance from previous prime (2221879291) and next prime (2221879301).

It is a tau number, because it is divible by the number of its divisors (208).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2221879291) 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, 1117215 + ... + 1119201.

Almost surely, 2^2221879296 is an apocalyptic number.

2221879296 is a gapful number since it is divisible by the number (26) 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 2221879296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3647550592).

2221879296 is an abundant number, since it is smaller than the sum of its proper divisors (5073221888).

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

2221879296 is a wasteful number, since it uses less digits than its factorization.

2221879296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2034 (or 2012 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 2221879296 is about 47136.8146569112. The cubic root of 2221879296 is about 1304.8887513979. Note that the first 3 decimals are identical.

The spelling of 2221879296 in words is "two billion, two hundred twenty-one million, eight hundred seventy-nine thousand, two hundred ninety-six".