2698666560 has 336 divisors, whose sum is σ = 9692347392. Its totient is φ = 688435200.

The previous prime is 2698666517. The next prime is 2698666583. The reversal of 2698666560 is 656668962.

It is a junction number, because it is equal to n+sod(n) for n = 2698666497 and 2698666506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14909670 + ... + 14909850.

It is an arithmetic number, because the mean of its divisors is an integer number (28846272).

Almost surely, 2^2698666560 is an apocalyptic number.

2698666560 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 2698666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4846173696).

2698666560 is an abundant number, since it is smaller than the sum of its proper divisors (6993680832).

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

2698666560 is a wasteful number, since it uses less digits than its factorization.

2698666560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The square root of 2698666560 is about 51948.6916100877. The cubic root of 2698666560 is about 1392.2473797362.

The spelling of 2698666560 in words is "two billion, six hundred ninety-eight million, six hundred sixty-six thousand, five hundred sixty".