1993099530240 has 1872 divisors, whose sum is σ = 8883605797248. Its totient is φ = 417942208512.

The previous prime is 1993099530211. The next prime is 1993099530269. The reversal of 1993099530240 is 420359903991.

1993099530240 is a `hidden beast` number, since 1 + 9 + 9 + 309 + 95 + 3 + 0 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (1993099530211) and next prime (1993099530269).

It is a tau number, because it is divible by the number of its divisors (1872).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12227604399 + ... + 12227604561.

Almost surely, 2^{1993099530240} is an apocalyptic number.

1993099530240 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 1993099530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4441802898624).

1993099530240 is an abundant number, since it is smaller than the sum of its proper divisors (6890506267008).

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

1993099530240 is an frugal number, since it uses more digits than its factorization.

1993099530240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 2361960, while the sum is 54.

The spelling of 1993099530240 in words is "one trillion, nine hundred ninety-three billion, ninety-nine million, five hundred thirty thousand, two hundred forty".