10002944 has 40 divisors (see below), whose sum is σ = 22849728. Its totient is φ = 4285440.

The previous prime is 10002943. The next prime is 10002959. The reversal of 10002944 is 44920001.

It is not an unprimeable number, because it can be changed into a prime (10002943) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2189 + ... + 4979.

Almost surely, 2^10002944 is an apocalyptic number.

10002944 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 10002944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11424864).

10002944 is an abundant number, since it is smaller than the sum of its proper divisors (12846784).

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

10002944 is an frugal number, since it uses more digits than its factorization.

10002944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2816 (or 2800 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 10002944 is about 3162.7431131851. The cubic root of 10002944 is about 215.4646091145.

Adding to 10002944 its reverse (44920001), we get a palindrome (54922945).

The spelling of 10002944 in words is "ten million, two thousand, nine hundred forty-four".