2971638072 has 48 divisors (see below), whose sum is σ = 8667280440. Its totient is φ = 914349888.

The previous prime is 2971638071. The next prime is 2971638077. The reversal of 2971638072 is 2708361792.

2971638072 is a `hidden beast` number, since 2 + 9 + 7 + 1 + 638 + 0 + 7 + 2 = 666.

2971638072 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2971638071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1586478 + ... + 1588349.

Almost surely, 2^2971638072 is an apocalyptic number.

It is an amenable number.

2971638072 is an abundant number, since it is smaller than the sum of its proper divisors (5695642368).

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

2971638072 is a wasteful number, since it uses less digits than its factorization.

2971638072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3174852 (or 3174845 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 2971638072 is about 54512.7331180523. The cubic root of 2971638072 is about 1437.6901742298.

The spelling of 2971638072 in words is "two billion, nine hundred seventy-one million, six hundred thirty-eight thousand, seventy-two".