2971319040 has 216 divisors, whose sum is σ = 10559819088. Its totient is φ = 770826240.

The previous prime is 2971319011. The next prime is 2971319081. The reversal of 2971319040 is 409131792.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2971318986 and 2971319004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 422755 + ... + 429725.

Almost surely, 2^2971319040 is an apocalyptic number.

2971319040 is a gapful number since it is divisible by the number (20) 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 2971319040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5279909544).

2971319040 is an abundant number, since it is smaller than the sum of its proper divisors (7588500048).

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

2971319040 is a wasteful number, since it uses less digits than its factorization.

2971319040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7035 (or 7018 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 2971319040 is about 54509.8068240936. The cubic root of 2971319040 is about 1437.6387227435.

The spelling of 2971319040 in words is "two billion, nine hundred seventy-one million, three hundred nineteen thousand, forty".