2687389710720 has 1536 divisors, whose sum is σ = 10495473730560. Its totient is φ = 580714168320.

The previous prime is 2687389710653. The next prime is 2687389710727. The reversal of 2687389710720 is 270179837862.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2687389710727) 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 191 ways as a sum of consecutive naturals, for example, 16487053359 + ... + 16487053521.

It is an arithmetic number, because the mean of its divisors is an integer number (6832990710).

Almost surely, 2^{2687389710720} is an apocalyptic number.

2687389710720 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 2687389710720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5247736865280).

2687389710720 is an abundant number, since it is smaller than the sum of its proper divisors (7808084019840).

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

2687389710720 is a wasteful number, since it uses less digits than its factorization.

2687389710720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 60.

The spelling of 2687389710720 in words is "two trillion, six hundred eighty-seven billion, three hundred eighty-nine million, seven hundred ten thousand, seven hundred twenty".