2726428320 has 576 divisors, whose sum is σ = 11804921856. Its totient is φ = 556554240.

The previous prime is 2726428267. The next prime is 2726428339. The reversal of 2726428320 is 238246272.

It is a happy number.

2726428320 is a `hidden beast` number, since 2 + 7 + 2 + 642 + 8 + 3 + 2 + 0 = 666.

It is a super-2 number, since 2×2726428320² = 14866822768196044800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7428777 + ... + 7429143.

It is an arithmetic number, because the mean of its divisors is an integer number (20494656).

Almost surely, 2^2726428320 is an apocalyptic number.

2726428320 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 2726428320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5902460928).

2726428320 is an abundant number, since it is smaller than the sum of its proper divisors (9078493536).

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

2726428320 is a wasteful number, since it uses less digits than its factorization.

2726428320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2726428320 is about 52215.2115767044. The cubic root of 2726428320 is about 1397.0052173849.

The spelling of 2726428320 in words is "two billion, seven hundred twenty-six million, four hundred twenty-eight thousand, three hundred twenty".