1002984024 has 128 divisors (see below), whose sum is σ = 2989670400. Its totient is φ = 274337280.

The previous prime is 1002983983. The next prime is 1002984067. The reversal of 1002984024 is 4204892001.

It is a junction number, because it is equal to n+sod(n) for n = 1002983982 and 1002984000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 617934 + ... + 619554.

It is an arithmetic number, because the mean of its divisors is an integer number (23356800).

Almost surely, 2^1002984024 is an apocalyptic number.

1002984024 is a gapful number since it is divisible by the number (14) 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 1002984024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494835200).

1002984024 is an abundant number, since it is smaller than the sum of its proper divisors (1986686376).

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

1002984024 is a wasteful number, since it uses less digits than its factorization.

1002984024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1793 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 1002984024 is about 31669.9230185361. The cubic root of 1002984024 is about 1000.9936869259.

The spelling of 1002984024 in words is "one billion, two million, nine hundred eighty-four thousand, twenty-four".