2678676000 has 768 divisors, whose sum is σ = 11835113472. Its totient is φ = 511488000.

The previous prime is 2678675977. The next prime is 2678676019. The reversal of 2678676000 is 6768762.

It is a super-2 number, since 2×2678676000² = 14350610225952000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12011889 + ... + 12012111.

It is an arithmetic number, because the mean of its divisors is an integer number (15410304).

Almost surely, 2^2678676000 is an apocalyptic number.

2678676000 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 2678676000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5917556736).

2678676000 is an abundant number, since it is smaller than the sum of its proper divisors (9156437472).

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

2678676000 is a wasteful number, since it uses less digits than its factorization.

2678676000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 2678676000 is about 51755.9271967955. The cubic root of 2678676000 is about 1388.8011331813.

The spelling of 2678676000 in words is "two billion, six hundred seventy-eight million, six hundred seventy-six thousand".