2681211456 has 336 divisors, whose sum is σ = 9940869120. Its totient is φ = 696107520.

The previous prime is 2681211451. The next prime is 2681211473. The reversal of 2681211456 is 6541121862.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2681211456.

It is not an unprimeable number, because it can be changed into a prime (2681211451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1196385 + ... + 1198623.

It is an arithmetic number, because the mean of its divisors is an integer number (29585920).

Almost surely, 2^2681211456 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 2681211456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4970434560).

2681211456 is an abundant number, since it is smaller than the sum of its proper divisors (7259657664).

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

2681211456 is a wasteful number, since it uses less digits than its factorization.

2681211456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2284 (or 2262 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 2681211456 is about 51780.4157573112. The cubic root of 2681211456 is about 1389.2391771699.

The spelling of 2681211456 in words is "two billion, six hundred eighty-one million, two hundred eleven thousand, four hundred fifty-six".