2007338144 has 48 divisors (see below), whose sum is σ = 4754232000. Its totient is φ = 815007744.

The previous prime is 2007338131. The next prime is 2007338167. The reversal of 2007338144 is 4418337002.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 2007338144.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231569 + ... + 240080.

It is an arithmetic number, because the mean of its divisors is an integer number (99046500).

Almost surely, 2^2007338144 is an apocalyptic number.

It is an amenable number.

2007338144 is an abundant number, since it is smaller than the sum of its proper divisors (2746893856).

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

2007338144 is a wasteful number, since it uses less digits than its factorization.

2007338144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471685 (or 471677 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 2007338144 is about 44803.3273764349. The cubic root of 2007338144 is about 1261.4600828347.

The spelling of 2007338144 in words is "two billion, seven million, three hundred thirty-eight thousand, one hundred forty-four".