2011419648 has 352 divisors, whose sum is σ = 7179238400. Its totient is φ = 543449088.

The previous prime is 2011419607. The next prime is 2011419649. The reversal of 2011419648 is 8469141102.

2011419648 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 4 + 1 + 9 + 648 = 666.

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 (2011419649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3676911 + ... + 3677457.

Almost surely, 2^2011419648 is an apocalyptic number.

2011419648 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 2011419648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3589619200).

2011419648 is an abundant number, since it is smaller than the sum of its proper divisors (5167818752).

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

2011419648 is a wasteful number, since it uses less digits than its factorization.

2011419648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 2011419648 is about 44848.8533632689. The cubic root of 2011419648 is about 1262.3144761272.

The spelling of 2011419648 in words is "two billion, eleven million, four hundred nineteen thousand, six hundred forty-eight".