2677988239960 has 128 divisors (see below), whose sum is σ = 6586380864000. Its totient is φ = 971869916160.

The previous prime is 2677988239907. The next prime is 2677988239961. The reversal of 2677988239960 is 699328897762.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2677988239961) 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, 576777399 + ... + 576782041.

It is an arithmetic number, because the mean of its divisors is an integer number (51456100500).

Almost surely, 2^{2677988239960} is an apocalyptic number.

2677988239960 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 2677988239960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3293190432000).

2677988239960 is an abundant number, since it is smaller than the sum of its proper divisors (3908392624040).

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

2677988239960 is a wasteful number, since it uses less digits than its factorization.

2677988239960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7001 (or 6997 counting only the distinct ones).

The product of its (nonzero) digits is 987614208, while the sum is 76.

The spelling of 2677988239960 in words is "two trillion, six hundred seventy-seven billion, nine hundred eighty-eight million, two hundred thirty-nine thousand, nine hundred sixty".