2674944000 has 576 divisors, whose sum is σ = 10231341120. Its totient is φ = 696729600.

The previous prime is 2674943993. The next prime is 2674944031. The reversal of 2674944000 is 4494762.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62207979 + ... + 62208021.

It is an arithmetic number, because the mean of its divisors is an integer number (17762745).

Almost surely, 2^2674944000 is an apocalyptic number.

2674944000 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 2674944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5115670560).

2674944000 is an abundant number, since it is smaller than the sum of its proper divisors (7556397120).

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

2674944000 is an frugal number, since it uses more digits than its factorization.

2674944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2674944000 is about 51719.8607886758. The cubic root of 2674944000 is about 1388.1558623179.

The spelling of 2674944000 in words is "two billion, six hundred seventy-four million, nine hundred forty-four thousand".