2908579872 has 96 divisors (see below), whose sum is σ = 8341462080. Its totient is φ = 880081920.

The previous prime is 2908579847. The next prime is 2908579901. The reversal of 2908579872 is 2789758092.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×2908579872³ (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 899154 + ... + 902382.

It is an arithmetic number, because the mean of its divisors is an integer number (86890230).

Almost surely, 2^2908579872 is an apocalyptic number.

2908579872 is a gapful number since it is divisible by the number (22) 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 2908579872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4170731040).

2908579872 is an abundant number, since it is smaller than the sum of its proper divisors (5432882208).

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

2908579872 is a wasteful number, since it uses less digits than its factorization.

2908579872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4106 (or 4098 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 57.

The square root of 2908579872 is about 53931.2513483602. The cubic root of 2908579872 is about 1427.4481150892.

The spelling of 2908579872 in words is "two billion, nine hundred eight million, five hundred seventy-nine thousand, eight hundred seventy-two".