1993374240 has 384 divisors, whose sum is σ = 7471118592. Its totient is φ = 440401920.

The previous prime is 1993374217. The next prime is 1993374241. The reversal of 1993374240 is 424733991.

It is a junction number, because it is equal to n+sod(n) for n = 1993374192 and 1993374201.

It is not an unprimeable number, because it can be changed into a prime (1993374241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7756192 + ... + 7756448.

It is an arithmetic number, because the mean of its divisors is an integer number (19456038).

Almost surely, 2^1993374240 is an apocalyptic number.

1993374240 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 1993374240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3735559296).

1993374240 is an abundant number, since it is smaller than the sum of its proper divisors (5477744352).

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

1993374240 is a wasteful number, since it uses less digits than its factorization.

1993374240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 1993374240 is about 44647.2198462569. The cubic root of 1993374240 is about 1258.5281882168.

The spelling of 1993374240 in words is "one billion, nine hundred ninety-three million, three hundred seventy-four thousand, two hundred forty".