1993009440 has 192 divisors, whose sum is σ = 6486552576. Its totient is φ = 513994752.

The previous prime is 1993009423. The next prime is 1993009453. The reversal of 1993009440 is 449003991.

It is a super-2 number, since 2×1993009440² = 7944173255858227200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5203489 + ... + 5203871.

It is an arithmetic number, because the mean of its divisors is an integer number (33784128).

Almost surely, 2^1993009440 is an apocalyptic number.

1993009440 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 1993009440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3243276288).

1993009440 is an abundant number, since it is smaller than the sum of its proper divisors (4493543136).

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

1993009440 is a wasteful number, since it uses less digits than its factorization.

1993009440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 1993009440 is about 44643.1342985682. The cubic root of 1993009440 is about 1258.4514106800.

The spelling of 1993009440 in words is "one billion, nine hundred ninety-three million, nine thousand, four hundred forty".