2011217488 has 160 divisors (see below), whose sum is σ = 4849689600. Its totient is φ = 788963328.

The previous prime is 2011217477. The next prime is 2011217491. The reversal of 2011217488 is 8847121102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10420720 + ... + 10420912.

It is an arithmetic number, because the mean of its divisors is an integer number (30310560).

Almost surely, 2^2011217488 is an apocalyptic number.

2011217488 is a gapful number since it is divisible by the number (28) 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 2011217488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2424844800).

2011217488 is an abundant number, since it is smaller than the sum of its proper divisors (2838472112).

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

2011217488 is a wasteful number, since it uses less digits than its factorization.

2011217488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 34.

The square root of 2011217488 is about 44846.5995143445. The cubic root of 2011217488 is about 1262.2721845970.

The spelling of 2011217488 in words is "two billion, eleven million, two hundred seventeen thousand, four hundred eighty-eight".