2689997057280 has 576 divisors, whose sum is σ = 10305880704000. Its totient is φ = 660489043968.

The previous prime is 2689997057273. The next prime is 2689997057303. The reversal of 2689997057280 is 827507999862.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 2689997057199 and 2689997057208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 183748201 + ... + 183762839.

It is an arithmetic number, because the mean of its divisors is an integer number (17892154000).

Almost surely, 2^{2689997057280} is an apocalyptic number.

2689997057280 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 2689997057280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5152940352000).

2689997057280 is an abundant number, since it is smaller than the sum of its proper divisors (7615883646720).

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

2689997057280 is a wasteful number, since it uses less digits than its factorization.

2689997057280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15091 (or 15071 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 72.

The spelling of 2689997057280 in words is "two trillion, six hundred eighty-nine billion, nine hundred ninety-seven million, fifty-seven thousand, two hundred eighty".