2689427664 has 320 divisors, whose sum is σ = 9693665280. Its totient is φ = 693550080.

The previous prime is 2689427639. The next prime is 2689427729. The reversal of 2689427664 is 4667249862.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2689427664.

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, 7750339 + ... + 7750685.

It is an arithmetic number, because the mean of its divisors is an integer number (30292704).

Almost surely, 2^2689427664 is an apocalyptic number.

2689427664 is a gapful number since it is divisible by the number (24) 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 2689427664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4846832640).

2689427664 is an abundant number, since it is smaller than the sum of its proper divisors (7004237616).

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

2689427664 is a wasteful number, since it uses less digits than its factorization.

2689427664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 603 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 2689427664 is about 51859.6920931854. The cubic root of 2689427664 is about 1390.6567750070.

The spelling of 2689427664 in words is "two billion, six hundred eighty-nine million, four hundred twenty-seven thousand, six hundred sixty-four".