2726256000 has 512 divisors, whose sum is σ = 10345345920. Its totient is φ = 629145600.

The previous prime is 2726255993. The next prime is 2726256053. The reversal of 2726256000 is 6526272.

2726256000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10607872 + ... + 10608128.

Almost surely, 2^2726256000 is an apocalyptic number.

2726256000 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 2726256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5172672960).

2726256000 is an abundant number, since it is smaller than the sum of its proper divisors (7619089920).

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

2726256000 is a wasteful number, since it uses less digits than its factorization.

2726256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 2726256000 is about 52213.5614567710. The cubic root of 2726256000 is about 1396.9757848597.

The spelling of 2726256000 in words is "two billion, seven hundred twenty-six million, two hundred fifty-six thousand".