2224280520 has 384 divisors, whose sum is σ = 9411292800. Its totient is φ = 462067200.

The previous prime is 2224280501. The next prime is 2224280533. The reversal of 2224280520 is 250824222.

2224280520 is a `hidden beast` number, since 2 + 22 + 42 + 80 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 580210 + ... + 584030.

It is an arithmetic number, because the mean of its divisors is an integer number (24508575).

Almost surely, 2^2224280520 is an apocalyptic number.

2224280520 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 2224280520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4705646400).

2224280520 is an abundant number, since it is smaller than the sum of its proper divisors (7187012280).

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

2224280520 is a wasteful number, since it uses less digits than its factorization.

2224280520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3866 (or 3849 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 2224280520 is about 47162.2785709088. The cubic root of 2224280520 is about 1305.3586542292.

The spelling of 2224280520 in words is "two billion, two hundred twenty-four million, two hundred eighty thousand, five hundred twenty".