2689376879280 has 640 divisors, whose sum is σ = 10659893723136. Its totient is φ = 545605632000.

The previous prime is 2689376879263. The next prime is 2689376879281. The reversal of 2689376879280 is 829786739862.

It is not an unprimeable number, because it can be changed into a prime (2689376879281) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 106282630 + ... + 106307930.

Almost surely, 2^{2689376879280} is an apocalyptic number.

2689376879280 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 2689376879280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5329946861568).

2689376879280 is an abundant number, since it is smaller than the sum of its proper divisors (7970516843856).

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

2689376879280 is a wasteful number, since it uses less digits than its factorization.

2689376879280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25525 (or 25519 counting only the distinct ones).

The product of its (nonzero) digits is 877879296, while the sum is 75.

The spelling of 2689376879280 in words is "two trillion, six hundred eighty-nine billion, three hundred seventy-six million, eight hundred seventy-nine thousand, two hundred eighty".