2681127540 has 360 divisors, whose sum is σ = 10416067200. Its totient is φ = 565284096.

The previous prime is 2681127523. The next prime is 2681127551. The reversal of 2681127540 is 457211862.

2681127540 is a `hidden beast` number, since 26 + 81 + 12 + 7 + 540 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2681127495 and 2681127504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1915761 + ... + 1917159.

It is an arithmetic number, because the mean of its divisors is an integer number (28933520).

Almost surely, 2^2681127540 is an apocalyptic number.

2681127540 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 2681127540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5208033600).

2681127540 is an abundant number, since it is smaller than the sum of its proper divisors (7734939660).

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

2681127540 is a wasteful number, since it uses less digits than its factorization.

2681127540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1453 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 2681127540 is about 51779.6054446150. The cubic root of 2681127540 is about 1389.2246836455.

The spelling of 2681127540 in words is "two billion, six hundred eighty-one million, one hundred twenty-seven thousand, five hundred forty".