1810393920 has 336 divisors, whose sum is σ = 6675851520. Its totient is φ = 448708608.

The previous prime is 1810393867. The next prime is 1810393927. The reversal of 1810393920 is 293930181.

1810393920 is a `hidden beast` number, since 181 + 0 + 393 + 92 + 0 = 666.

It is a super-2 number, since 2×1810393920² = 6555052291145932800, 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 not an unprimeable number, because it can be changed into a prime (1810393927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5042701 + ... + 5043059.

Almost surely, 2^1810393920 is an apocalyptic number.

1810393920 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 1810393920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3337925760).

1810393920 is an abundant number, since it is smaller than the sum of its proper divisors (4865457600).

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

1810393920 is a wasteful number, since it uses less digits than its factorization.

1810393920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1810393920 is about 42548.7240701763. The cubic root of 1810393920 is about 1218.7773112617. Note that the first 3 decimals are identical.

The spelling of 1810393920 in words is "one billion, eight hundred ten million, three hundred ninety-three thousand, nine hundred twenty".