2971496640 has 672 divisors, whose sum is σ = 12350983680. Its totient is φ = 589234176.

The previous prime is 2971496617. The next prime is 2971496713. The reversal of 2971496640 is 466941792.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2971496640.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 80310702 + ... + 80310738.

It is an arithmetic number, because the mean of its divisors is an integer number (18379440).

Almost surely, 2^2971496640 is an apocalyptic number.

2971496640 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 2971496640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6175491840).

2971496640 is an abundant number, since it is smaller than the sum of its proper divisors (9379487040).

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

2971496640 is a wasteful number, since it uses less digits than its factorization.

2971496640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 2971496640 is about 54511.4358644129. The cubic root of 2971496640 is about 1437.6673654155.

The spelling of 2971496640 in words is "two billion, nine hundred seventy-one million, four hundred ninety-six thousand, six hundred forty".