2967552672 has 96 divisors (see below), whose sum is σ = 8919009792. Its totient is φ = 846315264.

The previous prime is 2967552671. The next prime is 2967552697. The reversal of 2967552672 is 2762557692.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×2967552672³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2967552671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 390703 + ... + 398225.

It is an arithmetic number, because the mean of its divisors is an integer number (92906352).

Almost surely, 2^2967552672 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 2967552672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4459504896).

2967552672 is an abundant number, since it is smaller than the sum of its proper divisors (5951457120).

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

2967552672 is a wasteful number, since it uses less digits than its factorization.

2967552672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8130 (or 8122 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 51.

The square root of 2967552672 is about 54475.2482509259. The cubic root of 2967552672 is about 1437.0310278830.

The spelling of 2967552672 in words is "two billion, nine hundred sixty-seven million, five hundred fifty-two thousand, six hundred seventy-two".