1813188240 has 240 divisors, whose sum is σ = 6648532800. Its totient is φ = 457975296.

The previous prime is 1813188211. The next prime is 1813188241. The reversal of 1813188240 is 428813181.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 1813188195 and 1813188204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1813188241) 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, 366906 + ... + 371814.

It is an arithmetic number, because the mean of its divisors is an integer number (27702220).

Almost surely, 2^1813188240 is an apocalyptic number.

1813188240 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 1813188240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3324266400).

1813188240 is an abundant number, since it is smaller than the sum of its proper divisors (4835344560).

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

1813188240 is a wasteful number, since it uses less digits than its factorization.

1813188240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4956 (or 4938 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 1813188240 is about 42581.5481165258. The cubic root of 1813188240 is about 1219.4040446824.

The spelling of 1813188240 in words is "one billion, eight hundred thirteen million, one hundred eighty-eight thousand, two hundred forty".