2067492672 has 504 divisors, whose sum is σ = 7588788480. Its totient is φ = 534159360.

The previous prime is 2067492671. The next prime is 2067492709. The reversal of 2067492672 is 2762947602.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2067492671) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14873979 + ... + 14874117.

It is an arithmetic number, because the mean of its divisors is an integer number (15057120).

Almost surely, 2^2067492672 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 2067492672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3794394240).

2067492672 is an abundant number, since it is smaller than the sum of its proper divisors (5521295808).

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

2067492672 is a wasteful number, since it uses less digits than its factorization.

2067492672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 2067492672 is about 45469.6895964773. The cubic root of 2067492672 is about 1273.9371220426.

The spelling of 2067492672 in words is "two billion, sixty-seven million, four hundred ninety-two thousand, six hundred seventy-two".