2241151104 has 64 divisors (see below), whose sum is σ = 5969399040. Its totient is φ = 744999936.

The previous prime is 2241151091. The next prime is 2241151109. The reversal of 2241151104 is 4011511422.

2241151104 = T₇₄ + T₇₅ + ... + T₂₃₇₇.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (2241151109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135409 + ... + 151055.

It is an arithmetic number, because the mean of its divisors is an integer number (93271860).

Almost surely, 2^2241151104 is an apocalyptic number.

2241151104 is a gapful number since it is divisible by the number (24) 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 2241151104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2984699520).

2241151104 is an abundant number, since it is smaller than the sum of its proper divisors (3728247936).

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

2241151104 is a wasteful number, since it uses less digits than its factorization.

2241151104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16037 (or 16025 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 2241151104 is about 47340.7974584290. The cubic root of 2241151104 is about 1308.6506129274.

Adding to 2241151104 its reverse (4011511422), we get a palindrome (6252662526).

The spelling of 2241151104 in words is "two billion, two hundred forty-one million, one hundred fifty-one thousand, one hundred four".