2007340368 has 160 divisors (see below), whose sum is σ = 5791772160. Its totient is φ = 593978880.

The previous prime is 2007340351. The next prime is 2007340369. The reversal of 2007340368 is 8630437002.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2007340369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6332146 + ... + 6332462.

It is an arithmetic number, because the mean of its divisors is an integer number (36198576).

Almost surely, 2^2007340368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2007340368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2895886080).

2007340368 is an abundant number, since it is smaller than the sum of its proper divisors (3784431792).

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

2007340368 is a wasteful number, since it uses less digits than its factorization.

2007340368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 2007340368 is about 44803.3521960132. The cubic root of 2007340368 is about 1261.4605487064.

The spelling of 2007340368 in words is "two billion, seven million, three hundred forty thousand, three hundred sixty-eight".