2729742120 has 320 divisors, whose sum is σ = 10943665920. Its totient is φ = 596699136.

The previous prime is 2729742101. The next prime is 2729742121. The reversal of 2729742120 is 212479272.

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

It is not an unprimeable number, because it can be changed into a prime (2729742121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 519024 + ... + 524256.

It is an arithmetic number, because the mean of its divisors is an integer number (34198956).

Almost surely, 2^2729742120 is an apocalyptic number.

2729742120 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 2729742120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5471832960).

2729742120 is an abundant number, since it is smaller than the sum of its proper divisors (8213923800).

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

2729742120 is a wasteful number, since it uses less digits than its factorization.

2729742120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5286 (or 5273 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 2729742120 is about 52246.9340727281. The cubic root of 2729742120 is about 1397.5709785240.

The spelling of 2729742120 in words is "two billion, seven hundred twenty-nine million, seven hundred forty-two thousand, one hundred twenty".