2879262720 has 416 divisors, whose sum is σ = 10568355840. Its totient is φ = 743178240.

The previous prime is 2879262691. The next prime is 2879262731. The reversal of 2879262720 is 272629782.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22671297 + ... + 22671423.

Almost surely, 2^2879262720 is an apocalyptic number.

2879262720 is a gapful number since it is divisible by the number (20) 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 2879262720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5284177920).

2879262720 is an abundant number, since it is smaller than the sum of its proper divisors (7689093120).

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

2879262720 is a wasteful number, since it uses less digits than its factorization.

2879262720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 2879262720 is about 53658.7618194829. The cubic root of 2879262720 is about 1422.6359028096.

The spelling of 2879262720 in words is "two billion, eight hundred seventy-nine million, two hundred sixty-two thousand, seven hundred twenty".