2032967664 has 360 divisors, whose sum is σ = 7332343200. Its totient is φ = 520805376.

The previous prime is 2032967663. The next prime is 2032967669. The reversal of 2032967664 is 4667692302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2032967663) 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, 3393637 + ... + 3394235.

It is an arithmetic number, because the mean of its divisors is an integer number (20367620).

Almost surely, 2^2032967664 is an apocalyptic number.

2032967664 is a gapful number since it is divisible by the number (24) 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 2032967664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3666171600).

2032967664 is an abundant number, since it is smaller than the sum of its proper divisors (5299375536).

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

2032967664 is a wasteful number, since it uses less digits than its factorization.

2032967664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 2032967664 is about 45088.4426876777. The cubic root of 2032967664 is about 1266.8061321352.

The spelling of 2032967664 in words is "two billion, thirty-two million, nine hundred sixty-seven thousand, six hundred sixty-four".