2681637840 has 200 divisors, whose sum is σ = 10644437760. Its totient is φ = 612935424.

The previous prime is 2681637839. The next prime is 2681637877. The reversal of 2681637840 is 487361862.

2681637840 is a `hidden beast` number, since 2 + 6 + 8 + 1 + 637 + 8 + 4 + 0 = 666.

It is a super-3 number, since 3×2681637840³ (a number of 29 digits) contains 333 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 39 ways as a sum of consecutive naturals, for example, 15801 + ... + 74919.

Almost surely, 2^2681637840 is an apocalyptic number.

2681637840 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 2681637840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5322218880).

2681637840 is an abundant number, since it is smaller than the sum of its proper divisors (7962799920).

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

2681637840 is a wasteful number, since it uses less digits than its factorization.

2681637840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59151 (or 59136 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2681637840 is about 51784.5328259317. The cubic root of 2681637840 is about 1389.3128152710.

The spelling of 2681637840 in words is "two billion, six hundred eighty-one million, six hundred thirty-seven thousand, eight hundred forty".