2067953472 has 168 divisors, whose sum is σ = 6412840616. Its totient is φ = 633360384.

The previous prime is 2067953471. The next prime is 2067953473. The reversal of 2067953472 is 2743597602.

It is an interprime number because it is at equal distance from previous prime (2067953471) and next prime (2067953473).

It can be written as a sum of positive squares in 4 ways, for example, as 98724096 + 1969229376 = 9936^2 + 44376^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2067953471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2073678 + ... + 2074674.

Almost surely, 2^2067953472 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 2067953472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3206420308).

2067953472 is an abundant number, since it is smaller than the sum of its proper divisors (4344887144).

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

2067953472 is a wasteful number, since it uses less digits than its factorization.

2067953472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 2067953472 is about 45474.7564259557. The cubic root of 2067953472 is about 1274.0317594791.

The spelling of 2067953472 in words is "two billion, sixty-seven million, nine hundred fifty-three thousand, four hundred seventy-two".