2729981520 has 480 divisors, whose sum is σ = 10986153984. Its totient is φ = 594432000.

The previous prime is 2729981519. The next prime is 2729981521. The reversal of 2729981520 is 251899272.

It is a happy number.

2729981520 is a `hidden beast` number, since 27 + 29 + 9 + 81 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (2729981519) and next prime (2729981521).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2729981521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15780154 + ... + 15780326.

Almost surely, 2^2729981520 is an apocalyptic number.

2729981520 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 2729981520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5493076992).

2729981520 is an abundant number, since it is smaller than the sum of its proper divisors (8256172464).

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

2729981520 is a wasteful number, since it uses less digits than its factorization.

2729981520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 2729981520 is about 52249.2250660237. The cubic root of 2729981520 is about 1397.6118332638.

The spelling of 2729981520 in words is "two billion, seven hundred twenty-nine million, nine hundred eighty-one thousand, five hundred twenty".