2067472000 has 256 divisors, whose sum is σ = 5945996160. Its totient is φ = 706560000.

The previous prime is 2067471971. The next prime is 2067472003. The reversal of 2067472000 is 2747602.

It is a self number, because there is not a number n which added to its sum of digits gives 2067472000.

It is not an unprimeable number, because it can be changed into a prime (2067472003) 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, 2991655 + ... + 2992345.

Almost surely, 2^2067472000 is an apocalyptic number.

2067472000 is a gapful number since it is divisible by the number (20) 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 2067472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2972998080).

2067472000 is an abundant number, since it is smaller than the sum of its proper divisors (3878524160).

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

2067472000 is a wasteful number, since it uses less digits than its factorization.

2067472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 2067472000 is about 45469.4622796443. The cubic root of 2067472000 is about 1273.9328761725.

The spelling of 2067472000 in words is "two billion, sixty-seven million, four hundred seventy-two thousand".