2734824960 has 480 divisors, whose sum is σ = 11194140672. Its totient is φ = 603832320.

The previous prime is 2734824893. The next prime is 2734824973. The reversal of 2734824960 is 694284372.

2734824960 is a `hidden beast` number, since 2 + 7 + 348 + 249 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

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, 4999407 + ... + 4999953.

Almost surely, 2^2734824960 is an apocalyptic number.

2734824960 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 2734824960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5597070336).

2734824960 is an abundant number, since it is smaller than the sum of its proper divisors (8459315712).

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

2734824960 is a wasteful number, since it uses less digits than its factorization.

2734824960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 2734824960 is about 52295.5539219158. The cubic root of 2734824960 is about 1398.4378766750.

The spelling of 2734824960 in words is "two billion, seven hundred thirty-four million, eight hundred twenty-four thousand, nine hundred sixty".