1002890889 has 288 divisors, whose sum is σ = 2230824960. Its totient is φ = 440899200.

The previous prime is 1002890887. The next prime is 1002890891. The reversal of 1002890889 is 9880982001.

It is an interprime number because it is at equal distance from previous prime (1002890887) and next prime (1002890891).

It is not a de Polignac number, because 1002890889 - 2¹ = 1002890887 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002890881) 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 287 ways as a sum of consecutive naturals, for example, 32351304 + ... + 32351334.

It is an arithmetic number, because the mean of its divisors is an integer number (7745920).

Almost surely, 2^1002890889 is an apocalyptic number.

1002890889 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

1002890889 is an abundant number, since it is smaller than the sum of its proper divisors (1227934071).

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

1002890889 is a wasteful number, since it uses less digits than its factorization.

1002890889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 1002890889 is about 31668.4525829729. The cubic root of 1002890889 is about 1000.9627025730.

The spelling of 1002890889 in words is "one billion, two million, eight hundred ninety thousand, eight hundred eighty-nine".