1993392000 has 384 divisors, whose sum is σ = 7281331200. Its totient is φ = 522547200.

The previous prime is 1993391999. The next prime is 1993392013. The reversal of 1993392000 is 2933991.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1993392000² = 7947223331328000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15695937 + ... + 15696063.

It is an arithmetic number, because the mean of its divisors is an integer number (18961800).

Almost surely, 2^1993392000 is an apocalyptic number.

1993392000 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 1993392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3640665600).

1993392000 is an abundant number, since it is smaller than the sum of its proper divisors (5287939200).

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

1993392000 is a wasteful number, since it uses less digits than its factorization.

1993392000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The square root of 1993392000 is about 44647.4187383773. The cubic root of 1993392000 is about 1258.5319258315.

The spelling of 1993392000 in words is "one billion, nine hundred ninety-three million, three hundred ninety-two thousand".