2723253600256 has 240 divisors, whose sum is σ = 6321776630400. Its totient is φ = 1148996026368.

The previous prime is 2723253600217. The next prime is 2723253600259. The reversal of 2723253600256 is 6520063523272.

It is a super-2 number, since 2×2723253600256² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2723253600259) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2237676960 + ... + 2237678176.

It is an arithmetic number, because the mean of its divisors is an integer number (26340735960).

Almost surely, 2^{2723253600256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2723253600256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3160888315200).

2723253600256 is an abundant number, since it is smaller than the sum of its proper divisors (3598523030144).

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

2723253600256 is a wasteful number, since it uses less digits than its factorization.

2723253600256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 43.

The spelling of 2723253600256 in words is "two trillion, seven hundred twenty-three billion, two hundred fifty-three million, six hundred thousand, two hundred fifty-six".