2047224960 has 384 divisors, whose sum is σ = 7828704000. Its totient is φ = 488816640.

The previous prime is 2047224941. The next prime is 2047224967. The reversal of 2047224960 is 694227402.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2047224960² = 8382260073694003200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2047224967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5005236 + ... + 5005644.

It is an arithmetic number, because the mean of its divisors is an integer number (20387250).

Almost surely, 2^2047224960 is an apocalyptic number.

2047224960 is a gapful number since it is divisible by the number (20) 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 2047224960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3914352000).

2047224960 is an abundant number, since it is smaller than the sum of its proper divisors (5781479040).

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

2047224960 is a wasteful number, since it uses less digits than its factorization.

2047224960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2047224960 is about 45246.2701225195. The cubic root of 2047224960 is about 1269.7606261395.

The spelling of 2047224960 in words is "two billion, forty-seven million, two hundred twenty-four thousand, nine hundred sixty".