2967052032 has 180 divisors, whose sum is σ = 10111594416. Its totient is φ = 847687680.

The previous prime is 2967052021. The next prime is 2967052037. The reversal of 2967052032 is 2302507692.

It is a super-3 number, since 3×2967052032³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2967052037) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 134932 + ... + 155372.

Almost surely, 2^2967052032 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 2967052032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5055797208).

2967052032 is an abundant number, since it is smaller than the sum of its proper divisors (7144542384).

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

2967052032 is an equidigital number, since it uses as much as digits as its factorization.

2967052032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20476 (or 20453 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 2967052032 is about 54470.6529426626. The cubic root of 2967052032 is about 1436.9502120555.

The spelling of 2967052032 in words is "two billion, nine hundred sixty-seven million, fifty-two thousand, thirty-two".