2974343680 has 320 divisors, whose sum is σ = 9050849280. Its totient is φ = 910540800.

The previous prime is 2974343633. The next prime is 2974343719. The reversal of 2974343680 is 863434792.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 2974343680.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15572385 + ... + 15572575.

It is an arithmetic number, because the mean of its divisors is an integer number (28283904).

Almost surely, 2^2974343680 is an apocalyptic number.

2974343680 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 2974343680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4525424640).

2974343680 is an abundant number, since it is smaller than the sum of its proper divisors (6076505600).

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

2974343680 is a wasteful number, since it uses less digits than its factorization.

2974343680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 46.

The square root of 2974343680 is about 54537.5437657399. The cubic root of 2974343680 is about 1438.1263698013.

The spelling of 2974343680 in words is "two billion, nine hundred seventy-four million, three hundred forty-three thousand, six hundred eighty".