1872362240 has 144 divisors (see below), whose sum is σ = 5178841920. Its totient is φ = 635289600.

The previous prime is 1872362237. The next prime is 1872362249. The reversal of 1872362240 is 422632781.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 1872362240.

It is not an unprimeable number, because it can be changed into a prime (1872362249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 903926 + ... + 905994.

It is an arithmetic number, because the mean of its divisors is an integer number (35964180).

Almost surely, 2^1872362240 is an apocalyptic number.

1872362240 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 1872362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2589420960).

1872362240 is an abundant number, since it is smaller than the sum of its proper divisors (3306479680).

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

1872362240 is a wasteful number, since it uses less digits than its factorization.

1872362240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 1872362240 is about 43270.8012405594. The cubic root of 1872362240 is about 1232.5275190764.

The spelling of 1872362240 in words is "one billion, eight hundred seventy-two million, three hundred sixty-two thousand, two hundred forty".