2679828480 has 624 divisors, whose sum is σ = 11121936384. Its totient is φ = 583925760.

The previous prime is 2679828461. The next prime is 2679828493. The reversal of 2679828480 is 848289762.

It is a super-2 number, since 2×2679828480² = 14362961364438220800, which contains 22 as substring.

It is a congruent number.

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, 39997407 + ... + 39997473.

It is an arithmetic number, because the mean of its divisors is an integer number (17823616).

Almost surely, 2^2679828480 is an apocalyptic number.

2679828480 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 2679828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5560968192).

2679828480 is an abundant number, since it is smaller than the sum of its proper divisors (8442107904).

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

2679828480 is a wasteful number, since it uses less digits than its factorization.

2679828480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 2679828480 is about 51767.0597967472. The cubic root of 2679828480 is about 1389.0002783362. Note that the first 3 decimals are identical.

It can be divided in two parts, 26798 and 28480, that added together give a triangular number (55278 = T₃₃₂).

The spelling of 2679828480 in words is "two billion, six hundred seventy-nine million, eight hundred twenty-eight thousand, four hundred eighty".