1001082240 has 384 divisors, whose sum is σ = 3695721120. Its totient is φ = 258785280.

The previous prime is 1001082227. The next prime is 1001082301. The reversal of 1001082240 is 422801001.

1001082240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

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, 6376242 + ... + 6376398.

Almost surely, 2^1001082240 is an apocalyptic number.

1001082240 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 1001082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847860560).

1001082240 is an abundant number, since it is smaller than the sum of its proper divisors (2694638880).

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

1001082240 is an equidigital number, since it uses as much as digits as its factorization.

1001082240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 208 counting only the distinct ones).

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

The square root of 1001082240 is about 31639.8836913159. The cubic root of 1001082240 is about 1000.3606166067.

Adding to 1001082240 its reverse (422801001), we get a palindrome (1423883241).

The spelling of 1001082240 in words is "one billion, one million, eighty-two thousand, two hundred forty".