2677117588540 has 96 divisors (see below), whose sum is σ = 5933757368448. Its totient is φ = 1013220864000.

The previous prime is 2677117588363. The next prime is 2677117588543. The reversal of 2677117588540 is 458857117762.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2677117588543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9293880 + ... + 9577600.

It is an arithmetic number, because the mean of its divisors is an integer number (61809972588).

Almost surely, 2^{2677117588540} is an apocalyptic number.

2677117588540 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 2677117588540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2966878684224).

2677117588540 is an abundant number, since it is smaller than the sum of its proper divisors (3256639779908).

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

2677117588540 is a wasteful number, since it uses less digits than its factorization.

2677117588540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284119 (or 284117 counting only the distinct ones).

The product of its (nonzero) digits is 26342400, while the sum is 61.

The spelling of 2677117588540 in words is "two trillion, six hundred seventy-seven billion, one hundred seventeen million, five hundred eighty-eight thousand, five hundred forty".