1630720224 has 288 divisors, whose sum is σ = 5509183680. Its totient is φ = 447897600.

The previous prime is 1630720159. The next prime is 1630720237. The reversal of 1630720224 is 4220270361.

1630720224 is a `hidden beast` number, since 1 + 630 + 7 + 2 + 0 + 2 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1630720224² = 5318496897925220352, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9009414 + ... + 9009594.

It is an arithmetic number, because the mean of its divisors is an integer number (19129110).

Almost surely, 2^1630720224 is an apocalyptic number.

1630720224 is a gapful number since it is divisible by the number (14) 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 1630720224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2754591840).

1630720224 is an abundant number, since it is smaller than the sum of its proper divisors (3878463456).

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

1630720224 is a wasteful number, since it uses less digits than its factorization.

1630720224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 1630720224 is about 40382.1770586976. The cubic root of 1630720224 is about 1177.0452320413.

Adding to 1630720224 its reverse (4220270361), we get a palindrome (5850990585).

The spelling of 1630720224 in words is "one billion, six hundred thirty million, seven hundred twenty thousand, two hundred twenty-four".