2974981248 has 72 divisors (see below), whose sum is σ = 8566148955. Its totient is φ = 991043328.

The previous prime is 2974981237. The next prime is 2974981267. The reversal of 2974981248 is 8421894792.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2974981248 is a `hidden beast` number, since 29 + 7 + 498 + 124 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1487490624 + 1487490624 = 38568^2 + 38568^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=38568.

It is a junction number, because it is equal to n+sod(n) for n = 2974981194 and 2974981203.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1850461 + ... + 1852067.

Almost surely, 2^2974981248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2974981248

2974981248 is an abundant number, since it is smaller than the sum of its proper divisors (5591167707).

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

2974981248 is an frugal number, since it uses more digits than its factorization.

2974981248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3234 (or 1612 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 2974981248 is about 54543.3886736055. The cubic root of 2974981248 is about 1438.2291193987.

The spelling of 2974981248 in words is "two billion, nine hundred seventy-four million, nine hundred eighty-one thousand, two hundred forty-eight".