2974892928 has 256 divisors, whose sum is σ = 9818112000. Its totient is φ = 778844160.

The previous prime is 2974892927. The next prime is 2974892983. The reversal of 2974892928 is 8292984792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2974892923) 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 31 ways as a sum of consecutive naturals, for example, 1582293 + ... + 1584171.

It is an arithmetic number, because the mean of its divisors is an integer number (38352000).

Almost surely, 2^2974892928 is an apocalyptic number.

2974892928 is a gapful number since it is divisible by the number (28) 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 2974892928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4909056000).

2974892928 is an abundant number, since it is smaller than the sum of its proper divisors (6843219072).

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

2974892928 is a wasteful number, since it uses less digits than its factorization.

2974892928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953 (or 1941 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 60.

The square root of 2974892928 is about 54542.5790369322. The cubic root of 2974892928 is about 1438.2148867428.

The spelling of 2974892928 in words is "two billion, nine hundred seventy-four million, eight hundred ninety-two thousand, nine hundred twenty-eight".