2689537680 has 240 divisors, whose sum is σ = 9554388480. Its totient is φ = 676915200.

The previous prime is 2689537621. The next prime is 2689537693. The reversal of 2689537680 is 867359862.

It is a happy number.

2689537680 is a `hidden beast` number, since 26 + 8 + 9 + 537 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2689537680² = 14467225864279564800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 913651 + ... + 916589.

It is an arithmetic number, because the mean of its divisors is an integer number (39809952).

Almost surely, 2^2689537680 is an apocalyptic number.

2689537680 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 2689537680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4777194240).

2689537680 is an abundant number, since it is smaller than the sum of its proper divisors (6864850800).

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

2689537680 is a wasteful number, since it uses less digits than its factorization.

2689537680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3030 (or 3021 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 2689537680 is about 51860.7527905255. The cubic root of 2689537680 is about 1390.6757372087.

The spelling of 2689537680 in words is "two billion, six hundred eighty-nine million, five hundred thirty-seven thousand, six hundred eighty".