1002942336 has 128 divisors (see below), whose sum is σ = 3077429760. Its totient is φ = 286023680.

The previous prime is 1002942331. The next prime is 1002942359. The reversal of 1002942336 is 6332492001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1002942336² = 2011786658682273792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002942331) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 64825 + ... + 78791.

It is an arithmetic number, because the mean of its divisors is an integer number (24042420).

Almost surely, 2^1002942336 is an apocalyptic number.

1002942336 is a gapful number since it is divisible by the number (16) 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 1002942336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538714880).

1002942336 is an abundant number, since it is smaller than the sum of its proper divisors (2074487424).

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

1002942336 is a wasteful number, since it uses less digits than its factorization.

1002942336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14012 (or 14000 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 1002942336 is about 31669.2648477984. The cubic root of 1002942336 is about 1000.9798183092.

The spelling of 1002942336 in words is "one billion, two million, nine hundred forty-two thousand, three hundred thirty-six".