2971996272 has 200 divisors, whose sum is σ = 9951613056. Its totient is φ = 838698624.

The previous prime is 2971996271. The next prime is 2971996303. The reversal of 2971996272 is 2726991792.

2971996272 is a `hidden beast` number, since 2 + 9 + 7 + 1 + 9 + 9 + 627 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2971996271) 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 39 ways as a sum of consecutive naturals, for example, 751003 + ... + 754949.

Almost surely, 2^2971996272 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 2971996272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4975806528).

2971996272 is an abundant number, since it is smaller than the sum of its proper divisors (6979616784).

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

2971996272 is a wasteful number, since it uses less digits than its factorization.

2971996272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4057 (or 4042 counting only the distinct ones).

The product of its digits is 1714608, while the sum is 54.

The square root of 2971996272 is about 54516.0184899815. The cubic root of 2971996272 is about 1437.7479380980.

It can be divided in two parts, 297 and 1996272, that added together give a square (1996569 = 1413²).

The spelling of 2971996272 in words is "two billion, nine hundred seventy-one million, nine hundred ninety-six thousand, two hundred seventy-two".