2724010319268 has 360 divisors, whose sum is σ = 8730403577280. Its totient is φ = 736422503040.

The previous prime is 2724010319263. The next prime is 2724010319323. The reversal of 2724010319268 is 8629130104272.

2724010319268 is a `hidden beast` number, since 2 + 72 + 4 + 0 + 1 + 0 + 319 + 268 = 666.

It is not an unprimeable number, because it can be changed into a prime (2724010319263) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 267553138 + ... + 267563318.

It is an arithmetic number, because the mean of its divisors is an integer number (24251121048).

Almost surely, 2^{2724010319268} is an apocalyptic number.

2724010319268 is a gapful number since it is divisible by the number (28) 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 2724010319268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4365201788640).

2724010319268 is an abundant number, since it is smaller than the sum of its proper divisors (6006393258012).

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

2724010319268 is a wasteful number, since it uses less digits than its factorization.

2724010319268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11117 (or 11099 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 2724010319268 in words is "two trillion, seven hundred twenty-four billion, ten million, three hundred nineteen thousand, two hundred sixty-eight".