2971241440 has 48 divisors (see below), whose sum is σ = 7024857840. Its totient is φ = 1187599360.

The previous prime is 2971241417. The next prime is 2971241447. The reversal of 2971241440 is 441421792.

It is a happy number.

It is a super-3 number, since 3×2971241440³ (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2971241396 and 2971241405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2971241447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 230691 + ... + 243229.

It is an arithmetic number, because the mean of its divisors is an integer number (146351205).

Almost surely, 2^2971241440 is an apocalyptic number.

2971241440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2971241440 is an abundant number, since it is smaller than the sum of its proper divisors (4053616400).

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

2971241440 is a wasteful number, since it uses less digits than its factorization.

2971241440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14035 (or 14027 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 2971241440 is about 54509.0950209229. The cubic root of 2971241440 is about 1437.6262073438.

The spelling of 2971241440 in words is "two billion, nine hundred seventy-one million, two hundred forty-one thousand, four hundred forty".