2724947340 has 192 divisors, whose sum is σ = 8277147648. Its totient is φ = 667340800.

The previous prime is 2724947321. The next prime is 2724947369. The reversal of 2724947340 is 437494272.

It is a junction number, because it is equal to n+sod(n) for n = 2724947292 and 2724947301.

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, 13832122 + ... + 13832318.

It is an arithmetic number, because the mean of its divisors is an integer number (43110144).

Almost surely, 2^2724947340 is an apocalyptic number.

2724947340 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 2724947340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4138573824).

2724947340 is an abundant number, since it is smaller than the sum of its proper divisors (5552200308).

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

2724947340 is a wasteful number, since it uses less digits than its factorization.

2724947340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The square root of 2724947340 is about 52201.0281507941. The cubic root of 2724947340 is about 1396.7522232024.

The spelling of 2724947340 in words is "two billion, seven hundred twenty-four million, nine hundred forty-seven thousand, three hundred forty".