2678655616 has 128 divisors (see below), whose sum is σ = 6693321600. Its totient is φ = 1039454208.

The previous prime is 2678655599. The next prime is 2678655653. The reversal of 2678655616 is 6165568762.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

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 15 ways as a sum of consecutive naturals, for example, 615175 + ... + 619513.

It is an arithmetic number, because the mean of its divisors is an integer number (52291575).

Almost surely, 2^2678655616 is an apocalyptic number.

2678655616 is a gapful number since it is divisible by the number (26) 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 2678655616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3346660800).

2678655616 is an abundant number, since it is smaller than the sum of its proper divisors (4014665984).

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

2678655616 is a wasteful number, since it uses less digits than its factorization.

2678655616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4426 (or 4414 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 52.

The square root of 2678655616 is about 51755.7302721158. The cubic root of 2678655616 is about 1388.7976103720.

The spelling of 2678655616 in words is "two billion, six hundred seventy-eight million, six hundred fifty-five thousand, six hundred sixteen".