2467776906 has 72 divisors (see below), whose sum is σ = 6238404900. Its totient is φ = 702971136.

The previous prime is 2467776887. The next prime is 2467776929. The reversal of 2467776906 is 6096777642.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2404431225 + 63345681 = 49035^2 + 7959^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 303810 + ... + 311826.

Almost surely, 2^2467776906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2467776906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3119202450).

2467776906 is an abundant number, since it is smaller than the sum of its proper divisors (3770627994).

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

2467776906 is a wasteful number, since it uses less digits than its factorization.

2467776906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8388 (or 8378 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The square root of 2467776906 is about 49676.7239861889. The cubic root of 2467776906 is about 1351.3524454752.

The spelling of 2467776906 in words is "two billion, four hundred sixty-seven million, seven hundred seventy-six thousand, nine hundred six".