2689076880 has 420 divisors, whose sum is σ = 10915882812. Its totient is φ = 613992960.

The previous prime is 2689076869. The next prime is 2689076891. The reversal of 2689076880 is 886709862.

It is an interprime number because it is at equal distance from previous prime (2689076869) and next prime (2689076891).

It can be written as a sum of positive squares in 2 ways, for example, as 1316818944 + 1372257936 = 36288^2 + 37044^2 .

It is a tau number, because it is divible by the number of its divisors (420).

It is a super-2 number, since 2×2689076880² = 14462268933101068800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2857210 + ... + 2858150.

Almost surely, 2^2689076880 is an apocalyptic number.

2689076880 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 2689076880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5457941406).

2689076880 is an abundant number, since it is smaller than the sum of its proper divisors (8226805932).

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

2689076880 is an equidigital number, since it uses as much as digits as its factorization.

2689076880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 2689076880 is about 51856.3099342790. The cubic root of 2689076880 is about 1390.5963109210.

The spelling of 2689076880 in words is "two billion, six hundred eighty-nine million, seventy-six thousand, eight hundred eighty".