2011272480 has 288 divisors, whose sum is σ = 7974989568. Its totient is φ = 452044800.

The previous prime is 2011272479. The next prime is 2011272481. The reversal of 2011272480 is 842721102.

2011272480 is a `hidden beast` number, since 2 + 0 + 112 + 72 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (2011272479) and next prime (2011272481).

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (2011272481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 613245 + ... + 616515.

It is an arithmetic number, because the mean of its divisors is an integer number (27690936).

Almost surely, 2^2011272480 is an apocalyptic number.

2011272480 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 2011272480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3987494784).

2011272480 is an abundant number, since it is smaller than the sum of its proper divisors (5963717088).

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

2011272480 is a wasteful number, since it uses less digits than its factorization.

2011272480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3360 (or 3349 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 2011272480 is about 44847.2126224139. The cubic root of 2011272480 is about 1262.2836891111.

Adding to 2011272480 its reverse (842721102), we get a palindrome (2853993582).

The spelling of 2011272480 in words is "two billion, eleven million, two hundred seventy-two thousand, four hundred eighty".