2681394144 has 192 divisors, whose sum is σ = 8494295040. Its totient is φ = 729630720.

The previous prime is 2681394091. The next prime is 2681394151. The reversal of 2681394144 is 4414931862.

It is a junction number, because it is equal to n+sod(n) for n = 2681394096 and 2681394105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 505297 + ... + 510575.

It is an arithmetic number, because the mean of its divisors is an integer number (44241120).

Almost surely, 2^2681394144 is an apocalyptic number.

2681394144 is a gapful number since it is divisible by the number (24) 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 2681394144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4247147520).

2681394144 is an abundant number, since it is smaller than the sum of its proper divisors (5812900896).

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

2681394144 is a wasteful number, since it uses less digits than its factorization.

2681394144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5353 (or 5345 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 2681394144 is about 51782.1797918937. The cubic root of 2681394144 is about 1389.2707290221.

The spelling of 2681394144 in words is "two billion, six hundred eighty-one million, three hundred ninety-four thousand, one hundred forty-four".