2724153120 has 960 divisors, whose sum is σ = 11679655680. Its totient is φ = 591224832.

The previous prime is 2724153053. The next prime is 2724153121. The reversal of 2724153120 is 213514272.

2724153120 is a `hidden beast` number, since 2 + 72 + 41 + 531 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2724153121) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 73625742 + ... + 73625778.

It is an arithmetic number, because the mean of its divisors is an integer number (12166308).

Almost surely, 2^2724153120 is an apocalyptic number.

2724153120 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 2724153120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5839827840).

2724153120 is an abundant number, since it is smaller than the sum of its proper divisors (8955502560).

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

2724153120 is a wasteful number, since it uses less digits than its factorization.

2724153120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2724153120 is about 52193.4202749734. The cubic root of 2724153120 is about 1396.6165097120.

Adding to 2724153120 its reverse (213514272), we get a palindrome (2937667392).

The spelling of 2724153120 in words is "two billion, seven hundred twenty-four million, one hundred fifty-three thousand, one hundred twenty".