2729370672 has 480 divisors, whose sum is σ = 9944363520. Its totient is φ = 680140800.

The previous prime is 2729370671. The next prime is 2729370673. The reversal of 2729370672 is 2760739272.

2729370672 is a `hidden beast` number, since 272 + 9 + 370 + 6 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2729370671) and next prime (2729370673).

It is not an unprimeable number, because it can be changed into a prime (2729370671) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27023422 + ... + 27023522.

It is an arithmetic number, because the mean of its divisors is an integer number (20717424).

Almost surely, 2^2729370672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2729370672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4972181760).

2729370672 is an abundant number, since it is smaller than the sum of its proper divisors (7214992848).

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

2729370672 is a wasteful number, since it uses less digits than its factorization.

2729370672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The square root of 2729370672 is about 52243.3792168922. The cubic root of 2729370672 is about 1397.5075844413.

The spelling of 2729370672 in words is "two billion, seven hundred twenty-nine million, three hundred seventy thousand, six hundred seventy-two".