2674595616 has 432 divisors, whose sum is σ = 9292243968. Its totient is φ = 670602240.

The previous prime is 2674595597. The next prime is 2674595633. The reversal of 2674595616 is 6165954762.

2674595616 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21059745 + ... + 21059871.

It is an arithmetic number, because the mean of its divisors is an integer number (21509824).

Almost surely, 2^2674595616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2674595616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4646121984).

2674595616 is an abundant number, since it is smaller than the sum of its proper divisors (6617648352).

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

2674595616 is a wasteful number, since it uses less digits than its factorization.

2674595616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 187 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 51.

The square root of 2674595616 is about 51716.4926885032. The cubic root of 2674595616 is about 1388.0955953505.

The spelling of 2674595616 in words is "two billion, six hundred seventy-four million, five hundred ninety-five thousand, six hundred sixteen".