2979685504 has 64 divisors (see below), whose sum is σ = 6155465400. Its totient is φ = 1435033600.

The previous prime is 2979685463. The next prime is 2979685543. The reversal of 2979685504 is 4055869792.

It can be written as a sum of positive squares in 4 ways, for example, as 710115904 + 2269569600 = 26648^2 + 47640^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2289654 + ... + 2290954.

Almost surely, 2^2979685504 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 2979685504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3077732700).

2979685504 is an abundant number, since it is smaller than the sum of its proper divisors (3175779896).

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

2979685504 is a wasteful number, since it uses less digits than its factorization.

2979685504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1961 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 55.

The square root of 2979685504 is about 54586.4956193379. The cubic root of 2979685504 is about 1438.9867975530.

The spelling of 2979685504 in words is "two billion, nine hundred seventy-nine million, six hundred eighty-five thousand, five hundred four".