2971737252 has 216 divisors, whose sum is σ = 8690922240. Its totient is φ = 854409600.

The previous prime is 2971737211. The next prime is 2971737253. The reversal of 2971737252 is 2527371792.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2971737198 and 2971737207.

It is not an unprimeable number, because it can be changed into a prime (2971737253) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7966938 + ... + 7967310.

Almost surely, 2^2971737252 is an apocalyptic number.

2971737252 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 2971737252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4345461120).

2971737252 is an abundant number, since it is smaller than the sum of its proper divisors (5719184988).

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

2971737252 is a wasteful number, since it uses less digits than its factorization.

2971737252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 479 counting only the distinct ones).

The product of its digits is 370440, while the sum is 45.

The square root of 2971737252 is about 54513.6428061820. The cubic root of 2971737252 is about 1437.7061686098.

The spelling of 2971737252 in words is "two billion, nine hundred seventy-one million, seven hundred thirty-seven thousand, two hundred fifty-two".