1018950240 has 384 divisors, whose sum is σ = 4215214080. Its totient is φ = 200448000.

The previous prime is 1018950227. The next prime is 1018950269. The reversal of 1018950240 is 420598101.

It is a happy number.

It is a Cunningham number, because it is equal to 31921²-1.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1018950198 and 1018950207.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 701515 + ... + 702965.

It is an arithmetic number, because the mean of its divisors is an integer number (10977120).

Almost surely, 2^1018950240 is an apocalyptic number.

1018950240 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 1018950240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2107607040).

1018950240 is an abundant number, since it is smaller than the sum of its proper divisors (3196263840).

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

1018950240 is a wasteful number, since it uses less digits than its factorization.

1018950240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 1018950240 is about 31920.9999843363. Note that the first 4 decimals coincide. The cubic root of 1018950240 is about 1006.2772602211.

The spelling of 1018950240 in words is "one billion, eighteen million, nine hundred fifty thousand, two hundred forty".