2681814464 has 224 divisors, whose sum is σ = 6849368064. Its totient is φ = 1015234560.

The previous prime is 2681814463. The next prime is 2681814503. The reversal of 2681814464 is 4644181862.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2681814463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8735399 + ... + 8735705.

It is an arithmetic number, because the mean of its divisors is an integer number (30577536).

Almost surely, 2^2681814464 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 2681814464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3424684032).

2681814464 is an abundant number, since it is smaller than the sum of its proper divisors (4167553600).

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

2681814464 is a wasteful number, since it uses less digits than its factorization.

2681814464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 401 counting only the distinct ones).

The product of its digits is 294912, while the sum is 44.

The square root of 2681814464 is about 51786.2381719314. The cubic root of 2681814464 is about 1389.3433166056.

The spelling of 2681814464 in words is "two billion, six hundred eighty-one million, eight hundred fourteen thousand, four hundred sixty-four".