2971429344 has 144 divisors (see below), whose sum is σ = 9312134832. Its totient is φ = 892975104.

The previous prime is 2971429339. The next prime is 2971429369. The reversal of 2971429344 is 4439241792.

2971429344 is a `hidden beast` number, since 297 + 14 + 2 + 9 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 2971429344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151764 + ... + 170220.

It is an arithmetic number, because the mean of its divisors is an integer number (64667603).

Almost surely, 2^2971429344 is an apocalyptic number.

2971429344 is a gapful number since it is divisible by the number (24) 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 2971429344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4656067416).

2971429344 is an abundant number, since it is smaller than the sum of its proper divisors (6340705488).

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

2971429344 is a wasteful number, since it uses less digits than its factorization.

2971429344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18529 (or 18518 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 2971429344 is about 54510.8185959448. The cubic root of 2971429344 is about 1437.6565122995.

The spelling of 2971429344 in words is "two billion, nine hundred seventy-one million, four hundred twenty-nine thousand, three hundred forty-four".