2274441984 has 144 divisors (see below), whose sum is σ = 6781501440. Its totient is φ = 751887360.

The previous prime is 2274441959. The next prime is 2274441989. The reversal of 2274441984 is 4891444722.

2274441984 is a `hidden beast` number, since 227 + 4 + 4 + 419 + 8 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2274441989) 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, 876529 + ... + 879119.

It is an arithmetic number, because the mean of its divisors is an integer number (47093760).

Almost surely, 2^2274441984 is an apocalyptic number.

2274441984 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 2274441984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3390750720).

2274441984 is an abundant number, since it is smaller than the sum of its proper divisors (4507059456).

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

2274441984 is a wasteful number, since it uses less digits than its factorization.

2274441984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2743 (or 2723 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 2274441984 is about 47691.1101149889. The cubic root of 2274441984 is about 1315.0985163317.

The spelling of 2274441984 in words is "two billion, two hundred seventy-four million, four hundred forty-one thousand, nine hundred eighty-four".