2724827040 has 384 divisors, whose sum is σ = 10414656000. Its totient is φ = 669606912.

The previous prime is 2724827029. The next prime is 2724827041. The reversal of 2724827040 is 407284272.

2724827040 is a `hidden beast` number, since 2 + 72 + 482 + 70 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2724826986 and 2724827004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2724827041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4548661 + ... + 4549259.

It is an arithmetic number, because the mean of its divisors is an integer number (27121500).

Almost surely, 2^2724827040 is an apocalyptic number.

2724827040 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 2724827040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5207328000).

2724827040 is an abundant number, since it is smaller than the sum of its proper divisors (7689828960).

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

2724827040 is an equidigital number, since it uses as much as digits as its factorization.

2724827040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 2724827040 is about 52199.8758619214. The cubic root of 2724827040 is about 1396.7316684609.

The spelling of 2724827040 in words is "two billion, seven hundred twenty-four million, eight hundred twenty-seven thousand, forty".