2879073648 has 240 divisors, whose sum is σ = 9312975360. Its totient is φ = 821145600.

The previous prime is 2879073601. The next prime is 2879073661. The reversal of 2879073648 is 8463709782.

It is a Cunningham number, because it is equal to 53657²-1.

It is a junction number, because it is equal to n+sod(n) for n = 2879073594 and 2879073603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8155840 + ... + 8156192.

It is an arithmetic number, because the mean of its divisors is an integer number (38804064).

Almost surely, 2^2879073648 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 2879073648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4656487680).

2879073648 is an abundant number, since it is smaller than the sum of its proper divisors (6433901712).

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

2879073648 is a wasteful number, since it uses less digits than its factorization.

2879073648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 2879073648 is about 53656.9999906816. Note that the first 5 decimals coincide. The cubic root of 2879073648 is about 1422.6047621404.

The spelling of 2879073648 in words is "two billion, eight hundred seventy-nine million, seventy-three thousand, six hundred forty-eight".