2241434000 has 80 divisors (see below), whose sum is σ = 5836761840. Its totient is φ = 827596800.

The previous prime is 2241433993. The next prime is 2241434017. The reversal of 2241434000 is 4341422.

It can be written as a sum of positive squares in 8 ways, for example, as 1761648784 + 479785216 = 41972^2 + 21904^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17105 + ... + 69104.

It is an arithmetic number, because the mean of its divisors is an integer number (72959523).

Almost surely, 2^2241434000 is an apocalyptic number.

2241434000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2241434000 is an abundant number, since it is smaller than the sum of its proper divisors (3595327840).

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

2241434000 is a wasteful number, since it uses less digits than its factorization.

2241434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86245 (or 86229 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2241434000 is about 47343.7852310100. The cubic root of 2241434000 is about 1308.7056733898.

Adding to 2241434000 its reverse (4341422), we get a palindrome (2245775422).

The spelling of 2241434000 in words is "two billion, two hundred forty-one million, four hundred thirty-four thousand".