2979245808 has 240 divisors, whose sum is σ = 10515398400. Its totient is φ = 764881920.

The previous prime is 2979245807. The next prime is 2979245813. The reversal of 2979245808 is 8085429792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2979245807) by changing a digit.

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, 985323 + ... + 988341.

It is an arithmetic number, because the mean of its divisors is an integer number (43814160).

Almost surely, 2^2979245808 is an apocalyptic number.

2979245808 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 2979245808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5257699200).

2979245808 is an abundant number, since it is smaller than the sum of its proper divisors (7536152592).

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

2979245808 is a wasteful number, since it uses less digits than its factorization.

2979245808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3140 (or 3131 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 2979245808 is about 54582.4679544632. The cubic root of 2979245808 is about 1438.9160129168.

The spelling of 2979245808 in words is "two billion, nine hundred seventy-nine million, two hundred forty-five thousand, eight hundred eight".