2677085668944 has 240 divisors, whose sum is σ = 8109099198720. Its totient is φ = 845195904000.

The previous prime is 2677085668919. The next prime is 2677085668949. The reversal of 2677085668944 is 4498665807762.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2677085668949) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19443544 + ... + 19580744.

It is an arithmetic number, because the mean of its divisors is an integer number (33787913328).

Almost surely, 2^{2677085668944} is an apocalyptic number.

2677085668944 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 2677085668944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4054549599360).

2677085668944 is an abundant number, since it is smaller than the sum of its proper divisors (5432013529776).

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

2677085668944 is a wasteful number, since it uses less digits than its factorization.

2677085668944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137327 (or 137284 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 2677085668944 in words is "two trillion, six hundred seventy-seven billion, eighty-five million, six hundred sixty-eight thousand, nine hundred forty-four".