2682070272 has 216 divisors, whose sum is σ = 9227433600. Its totient is φ = 766209024.

The previous prime is 2682070271. The next prime is 2682070333. The reversal of 2682070272 is 2720702862.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2682070271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 334729 + ... + 342647.

It is an arithmetic number, because the mean of its divisors is an integer number (42719600).

Almost surely, 2^2682070272 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 2682070272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4613716800).

2682070272 is an abundant number, since it is smaller than the sum of its proper divisors (6545363328).

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

2682070272 is an equidigital number, since it uses as much as digits as its factorization.

2682070272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7958 (or 7931 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 2682070272 is about 51788.7079583957. The cubic root of 2682070272 is about 1389.3874899120.

The spelling of 2682070272 in words is "two billion, six hundred eighty-two million, seventy thousand, two hundred seventy-two".