2971440801 has 48 divisors (see below), whose sum is σ = 5128121280. Its totient is φ = 1695556800.

The previous prime is 2971440781. The next prime is 2971440803. The reversal of 2971440801 is 1080441792.

It is not a de Polignac number, because 2971440801 - 2¹⁸ = 2971178657 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2971440803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1389405 + ... + 1391541.

It is an arithmetic number, because the mean of its divisors is an integer number (106835860).

Almost surely, 2^2971440801 is an apocalyptic number.

2971440801 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2971440801 is a deficient number, since it is larger than the sum of its proper divisors (2156680479).

2971440801 is a wasteful number, since it uses less digits than its factorization.

2971440801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3211 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2971440801 is about 54510.9236850744. The cubic root of 2971440801 is about 1437.6583600309.

The spelling of 2971440801 in words is "two billion, nine hundred seventy-one million, four hundred forty thousand, eight hundred one".