2974935040 has 360 divisors, whose sum is σ = 9153135810. Its totient is φ = 927252480.

The previous prime is 2974935037. The next prime is 2974935049. The reversal of 2974935040 is 405394792.

It can be written as a sum of positive squares in only one way, i.e., 2677441536 + 297493504 = 51744^2 + 17248^2 .

It is not an unprimeable number, because it can be changed into a prime (2974935049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 270448635 + ... + 270448645.

Almost surely, 2^2974935040 is an apocalyptic number.

2974935040 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 2974935040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4576567905).

2974935040 is an abundant number, since it is smaller than the sum of its proper divisors (6178200770).

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

2974935040 is an frugal number, since it uses more digits than its factorization.

2974935040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 43.

The square root of 2974935040 is about 54542.9650825842. The cubic root of 2974935040 is about 1438.2216730733.

The spelling of 2974935040 in words is "two billion, nine hundred seventy-four million, nine hundred thirty-five thousand, forty".