1001802240 has 120 divisors (see below), whose sum is σ = 3469602708. Its totient is φ = 267141120.

The previous prime is 1001802209. The next prime is 1001802247. The reversal of 1001802240 is 422081001.

It can be written as a sum of positive squares in 2 ways, for example, as 1000583424 + 1218816 = 31632^2 + 1104^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1001802247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1300 + ... + 44780.

Almost surely, 2^1001802240 is an apocalyptic number.

1001802240 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 1001802240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734801354).

1001802240 is an abundant number, since it is smaller than the sum of its proper divisors (2467800468).

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

1001802240 is an equidigital number, since it uses as much as digits as its factorization.

1001802240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43510 (or 43491 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1001802240 is about 31651.2596905716. The cubic root of 1001802240 is about 1000.6003861310.

Adding to 1001802240 its reverse (422081001), we get a palindrome (1423883241).

The spelling of 1001802240 in words is "one billion, one million, eight hundred two thousand, two hundred forty".