2971875140 has 144 divisors (see below), whose sum is σ = 7065709056. Its totient is φ = 1048320000.

The previous prime is 2971875133. The next prime is 2971875161. The reversal of 2971875140 is 415781792.

It is a junction number, because it is equal to n+sod(n) for n = 2971875091 and 2971875100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11840015 + ... + 11840265.

It is an arithmetic number, because the mean of its divisors is an integer number (49067424).

Almost surely, 2^2971875140 is an apocalyptic number.

2971875140 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 2971875140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3532854528).

2971875140 is an abundant number, since it is smaller than the sum of its proper divisors (4093833916).

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

2971875140 is a wasteful number, since it uses less digits than its factorization.

2971875140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 44.

The square root of 2971875140 is about 54514.9075024438. The cubic root of 2971875140 is about 1437.7284046898.

The spelling of 2971875140 in words is "two billion, nine hundred seventy-one million, eight hundred seventy-five thousand, one hundred forty".