1930248000 has 672 divisors, whose sum is σ = 7788493440. Its totient is φ = 453427200.

The previous prime is 1930247993. The next prime is 1930248011. The reversal of 1930248000 is 8420391.

It is a congruent number.

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, 23255959 + ... + 23256041.

It is an arithmetic number, because the mean of its divisors is an integer number (11590020).

Almost surely, 2^1930248000 is an apocalyptic number.

1930248000 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 1930248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3894246720).

1930248000 is an abundant number, since it is smaller than the sum of its proper divisors (5858245440).

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

1930248000 is a wasteful number, since it uses less digits than its factorization.

1930248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1930248000 is about 43934.5877413229. The cubic root of 1930248000 is about 1245.1003935107.

Adding to 1930248000 its reverse (8420391), we get a palindrome (1938668391).

The spelling of 1930248000 in words is "one billion, nine hundred thirty million, two hundred forty-eight thousand".