2676754080 has 768 divisors, whose sum is σ = 12599193600. Its totient is φ = 512593920.

The previous prime is 2676754043. The next prime is 2676754081. The reversal of 2676754080 is 804576762.

2676754080 is a `hidden beast` number, since 26 + 7 + 6 + 7 + 540 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2676754081) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 4324011 + ... + 4324629.

It is an arithmetic number, because the mean of its divisors is an integer number (16405200).

Almost surely, 2^2676754080 is an apocalyptic number.

2676754080 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 2676754080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6299596800).

2676754080 is an abundant number, since it is smaller than the sum of its proper divisors (9922439520).

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

2676754080 is a wasteful number, since it uses less digits than its factorization.

2676754080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 2676754080 is about 51737.3567163998. The cubic root of 2676754080 is about 1388.4689039638.

The spelling of 2676754080 in words is "two billion, six hundred seventy-six million, seven hundred fifty-four thousand, eighty".