1002209824 has 96 divisors (see below), whose sum is σ = 2526685056. Its totient is φ = 379883520.

The previous prime is 1002209783. The next prime is 1002209833. The reversal of 1002209824 is 4289022001.

It is a super-2 number, since 2×1002209824² = 2008849062644221952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1002209792 and 1002209801.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 85672 + ... + 96664.

It is an arithmetic number, because the mean of its divisors is an integer number (26319636).

Almost surely, 2^1002209824 is an apocalyptic number.

1002209824 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 1002209824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263342528).

1002209824 is an abundant number, since it is smaller than the sum of its proper divisors (1524475232).

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

1002209824 is a wasteful number, since it uses less digits than its factorization.

1002209824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11058 (or 11050 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 1002209824 is about 31657.6977052975. The cubic root of 1002209824 is about 1000.7360660738.

The spelling of 1002209824 in words is "one billion, two million, two hundred nine thousand, eight hundred twenty-four".