2441349216 has 144 divisors (see below), whose sum is σ = 7418174400. Its totient is φ = 759331584.

The previous prime is 2441349199. The next prime is 2441349227. The reversal of 2441349216 is 6129431442.

2441349216 is a `hidden beast` number, since 24 + 413 + 4 + 9 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 363295 + ... + 369953.

It is an arithmetic number, because the mean of its divisors is an integer number (51515100).

Almost surely, 2^2441349216 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 2441349216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3709087200).

2441349216 is an abundant number, since it is smaller than the sum of its proper divisors (4976825184).

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

2441349216 is a wasteful number, since it uses less digits than its factorization.

2441349216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6761 (or 6750 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 2441349216 is about 49410.0112932592. The cubic root of 2441349216 is about 1346.5111957672.

The spelling of 2441349216 in words is "two billion, four hundred forty-one million, three hundred forty-nine thousand, two hundred sixteen".