2002912704 has 224 divisors, whose sum is σ = 6391696640. Its totient is φ = 611380224.

The previous prime is 2002912699. The next prime is 2002912727. The reversal of 2002912704 is 4072192002.

It is a super-3 number, since 3×2002912704³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3661359 + ... + 3661905.

It is an arithmetic number, because the mean of its divisors is an integer number (28534360).

Almost surely, 2^2002912704 is an apocalyptic number.

2002912704 is a gapful number since it is divisible by the number (24) 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 2002912704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3195848320).

2002912704 is an abundant number, since it is smaller than the sum of its proper divisors (4388783936).

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

2002912704 is a wasteful number, since it uses less digits than its factorization.

2002912704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2002912704 is about 44753.9127228000. The cubic root of 2002912704 is about 1260.5323827325.

The spelling of 2002912704 in words is "two billion, two million, nine hundred twelve thousand, seven hundred four".