2221429440 has 224 divisors, whose sum is σ = 7566842880. Its totient is φ = 550158336.

The previous prime is 2221429433. The next prime is 2221429481. The reversal of 2221429440 is 449241222.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2221429398 and 2221429407.

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, 1288419 + ... + 1290141.

Almost surely, 2^2221429440 is an apocalyptic number.

2221429440 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 2221429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3783421440).

2221429440 is an abundant number, since it is smaller than the sum of its proper divisors (5345413440).

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

2221429440 is a wasteful number, since it uses less digits than its factorization.

2221429440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1839 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 2221429440 is about 47132.0426037319. The cubic root of 2221429440 is about 1304.8006800587.

The spelling of 2221429440 in words is "two billion, two hundred twenty-one million, four hundred twenty-nine thousand, four hundred forty".