2682141535440 has 240 divisors, whose sum is σ = 9070808288256. Its totient is φ = 710226201600.

The previous prime is 2682141535433. The next prime is 2682141535529. The reversal of 2682141535440 is 445351412862.

2682141535440 is a `hidden beast` number, since 2 + 6 + 82 + 14 + 15 + 3 + 544 + 0 = 666.

2682141535440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2682141535440² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78506842 + ... + 78540998.

Almost surely, 2^{2682141535440} is an apocalyptic number.

2682141535440 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 2682141535440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4535404144128).

2682141535440 is an abundant number, since it is smaller than the sum of its proper divisors (6388666752816).

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

2682141535440 is a wasteful number, since it uses less digits than its factorization.

2682141535440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34938 (or 34929 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 2682141535440 in words is "two trillion, six hundred eighty-two billion, one hundred forty-one million, five hundred thirty-five thousand, four hundred forty".