2011344048 has 240 divisors, whose sum is σ = 6720569856. Its totient is φ = 570447360.

The previous prime is 2011344037. The next prime is 2011344059. The reversal of 2011344048 is 8404431102.

2011344048 is a `hidden beast` number, since 201 + 13 + 440 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2011344037) and next prime (2011344059).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 7157668 + ... + 7157948.

Almost surely, 2^2011344048 is an apocalyptic number.

2011344048 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 2011344048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3360284928).

2011344048 is an abundant number, since it is smaller than the sum of its proper divisors (4709225808).

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

2011344048 is a wasteful number, since it uses less digits than its factorization.

2011344048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2011344048 is about 44848.0105244369. The cubic root of 2011344048 is about 1262.2986610668.

The spelling of 2011344048 in words is "two billion, eleven million, three hundred forty-four thousand, forty-eight".