2979654048 has 288 divisors, whose sum is σ = 10189670400. Its totient is φ = 807510528.

The previous prime is 2979653987. The next prime is 2979654059. The reversal of 2979654048 is 8404569792.

2979654048 is a `hidden beast` number, since 2 + 9 + 7 + 96 + 540 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 2979653985 and 2979654003.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8299693 + ... + 8300051.

It is an arithmetic number, because the mean of its divisors is an integer number (35380800).

Almost surely, 2^2979654048 is an apocalyptic number.

2979654048 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 2979654048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5094835200).

2979654048 is an abundant number, since it is smaller than the sum of its proper divisors (7210016352).

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

2979654048 is a wasteful number, since it uses less digits than its factorization.

2979654048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 2979654048 is about 54586.2074887054. The cubic root of 2979654048 is about 1438.9817338276.

The spelling of 2979654048 in words is "two billion, nine hundred seventy-nine million, six hundred fifty-four thousand, forty-eight".