2967951272 has 64 divisors (see below), whose sum is σ = 6571152000. Its totient is φ = 1238941440.

The previous prime is 2967951247. The next prime is 2967951313. The reversal of 2967951272 is 2721597692.

It is a self number, because there is not a number n which added to its sum of digits gives 2967951272.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221138 + ... + 234174.

It is an arithmetic number, because the mean of its divisors is an integer number (102674250).

Almost surely, 2^2967951272 is an apocalyptic number.

2967951272 is a gapful number since it is divisible by the number (22) 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 2967951272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3285576000).

2967951272 is an abundant number, since it is smaller than the sum of its proper divisors (3603200728).

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

2967951272 is a wasteful number, since it uses less digits than its factorization.

2967951272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13266 (or 13262 counting only the distinct ones).

The product of its digits is 952560, while the sum is 50.

The square root of 2967951272 is about 54478.9066703802. The cubic root of 2967951272 is about 1437.0953654014.

The spelling of 2967951272 in words is "two billion, nine hundred sixty-seven million, nine hundred fifty-one thousand, two hundred seventy-two".