2007338112 has 320 divisors, whose sum is σ = 6578039160. Its totient is φ = 603832320.

The previous prime is 2007338093. The next prime is 2007338131. The reversal of 2007338112 is 2118337002.

2007338112 is a `hidden beast` number, since 200 + 73 + 381 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (2007338093) and next prime (2007338131).

It can be written as a sum of positive squares in 4 ways, for example, as 1725903936 + 281434176 = 41544^2 + 16776^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7143412 + ... + 7143692.

Almost surely, 2^2007338112 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 2007338112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3289019580).

2007338112 is an abundant number, since it is smaller than the sum of its proper divisors (4570701048).

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

2007338112 is a wasteful number, since it uses less digits than its factorization.

2007338112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 352 counting only the distinct ones).

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

The square root of 2007338112 is about 44803.3270193186. The cubic root of 2007338112 is about 1261.4600761315.

It can be divided in two parts, 20073 and 38112, that added together give a palindrome (58185).

The spelling of 2007338112 in words is "two billion, seven million, three hundred thirty-eight thousand, one hundred twelve".