1002109248 has 336 divisors, whose sum is σ = 3516497920. Its totient is φ = 266499072.

The previous prime is 1002109223. The next prime is 1002109261. The reversal of 1002109248 is 8429012001.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 7890561 + ... + 7890687.

Almost surely, 2^1002109248 is an apocalyptic number.

1002109248 is a gapful number since it is divisible by the number (18) 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 1002109248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758248960).

1002109248 is an abundant number, since it is smaller than the sum of its proper divisors (2514388672).

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

1002109248 is a wasteful number, since it uses less digits than its factorization.

1002109248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1002109248 is about 31656.1091734281. The cubic root of 1002109248 is about 1000.7025889199.

The spelling of 1002109248 in words is "one billion, two million, one hundred nine thousand, two hundred forty-eight".