2676960 has 216 divisors, whose sum is σ = 10791144. Its totient is φ = 599040.

The previous prime is 2676959. The next prime is 2676997. The reversal of 2676960 is 696762.

2676960 = T₉₇ + T₉₈ + ... + T₂₅₆.

It is a super-2 number, since 2×2676960² = 14332229683200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 205914 + ... + 205926.

It is an arithmetic number, because the mean of its divisors is an integer number (49959).

2^2676960 is an apocalyptic number.

2676960 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 2676960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5395572).

2676960 is an abundant number, since it is smaller than the sum of its proper divisors (8114184).

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

2676960 is a wasteful number, since it uses less digits than its factorization.

2676960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 2676960 is about 1636.1418031454. The cubic root of 2676960 is about 138.8504507556.

It can be divided in two parts, 267 and 6960, that added together give a palindrome (7227).

The spelling of 2676960 in words is "two million, six hundred seventy-six thousand, nine hundred sixty".