1993240480 has 384 divisors, whose sum is σ = 6437781504. Its totient is φ = 564019200.

The previous prime is 1993240451. The next prime is 1993240507. The reversal of 1993240480 is 840423991.

It is a super-2 number, since 2×1993240480² = 7946015222221260800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6492487 + ... + 6492793.

It is an arithmetic number, because the mean of its divisors is an integer number (16765056).

Almost surely, 2^1993240480 is an apocalyptic number.

1993240480 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 1993240480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3218890752).

1993240480 is an abundant number, since it is smaller than the sum of its proper divisors (4444541024).

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

1993240480 is a wasteful number, since it uses less digits than its factorization.

1993240480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 1993240480 is about 44645.7218555149. The cubic root of 1993240480 is about 1258.5000375410.

The spelling of 1993240480 in words is "one billion, nine hundred ninety-three million, two hundred forty thousand, four hundred eighty".