2674319760 has 320 divisors, whose sum is σ = 10659317760. Its totient is φ = 603624960.

The previous prime is 2674319743. The next prime is 2674319783. The reversal of 2674319760 is 679134762.

2674319760 is a `hidden beast` number, since 267 + 4 + 319 + 76 + 0 = 666.

2674319760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1253895 + ... + 1256025.

It is an arithmetic number, because the mean of its divisors is an integer number (33310368).

Almost surely, 2^2674319760 is an apocalyptic number.

2674319760 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 2674319760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5329658880).

2674319760 is an abundant number, since it is smaller than the sum of its proper divisors (7984998000).

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

2674319760 is a wasteful number, since it uses less digits than its factorization.

2674319760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2243 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 2674319760 is about 51713.8256175271. The cubic root of 2674319760 is about 1388.0478712931.

The spelling of 2674319760 in words is "two billion, six hundred seventy-four million, three hundred nineteen thousand, seven hundred sixty".