1999624320 has 320 divisors, whose sum is σ = 7564411800. Its totient is φ = 501645312.

The previous prime is 1999624307. The next prime is 1999624339. The reversal of 1999624320 is 234269991.

It is a happy number.

1999624320 is a `hidden beast` number, since 19 + 9 + 9 + 624 + 3 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1353651264 + 645973056 = 36792^2 + 25416^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×1999624320² = 7996994842270924800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 880146 + ... + 882414.

Almost surely, 2^1999624320 is an apocalyptic number.

1999624320 is a gapful number since it is divisible by the number (10) 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 1999624320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3782205900).

1999624320 is an abundant number, since it is smaller than the sum of its proper divisors (5564787480).

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

1999624320 is a wasteful number, since it uses less digits than its factorization.

1999624320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2317 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 1999624320 is about 44717.1591226455. The cubic root of 1999624320 is about 1259.8421570983.

The spelling of 1999624320 in words is "one billion, nine hundred ninety-nine million, six hundred twenty-four thousand, three hundred twenty".