2698833960 has 288 divisors, whose sum is σ = 9410661000. Its totient is φ = 669957120.

The previous prime is 2698833959. The next prime is 2698833971. The reversal of 2698833960 is 693388962.

It can be written as a sum of positive squares in 4 ways, for example, as 1540248516 + 1158585444 = 39246^2 + 34038^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2698833897 and 2698833906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10032706 + ... + 10032974.

Almost surely, 2^2698833960 is an apocalyptic number.

2698833960 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 2698833960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4705330500).

2698833960 is an abundant number, since it is smaller than the sum of its proper divisors (6711827040).

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

2698833960 is a wasteful number, since it uses less digits than its factorization.

2698833960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The square root of 2698833960 is about 51950.3027902629. The cubic root of 2698833960 is about 1392.2761664706.

The spelling of 2698833960 in words is "two billion, six hundred ninety-eight million, eight hundred thirty-three thousand, nine hundred sixty".