2241123984 has 80 divisors (see below), whose sum is σ = 7017675840. Its totient is φ = 679127040.

The previous prime is 2241123977. The next prime is 2241124007. The reversal of 2241123984 is 4893211422.

2241123984 is a `hidden beast` number, since 2 + 2 + 411 + 239 + 8 + 4 = 666.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231057 + ... + 240560.

It is an arithmetic number, because the mean of its divisors is an integer number (87720948).

Almost surely, 2^2241123984 is an apocalyptic number.

2241123984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2241123984 is an abundant number, since it is smaller than the sum of its proper divisors (4776551856).

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

2241123984 is a wasteful number, since it uses less digits than its factorization.

2241123984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471645 (or 471633 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 2241123984 is about 47340.5110238578. The cubic root of 2241123984 is about 1308.6453342788.

The spelling of 2241123984 in words is "two billion, two hundred forty-one million, one hundred twenty-three thousand, nine hundred eighty-four".