2011854240 has 192 divisors, whose sum is σ = 7681806720. Its totient is φ = 487710720.

The previous prime is 2011854233. The next prime is 2011854241. The reversal of 2011854240 is 424581102.

2011854240 is a `hidden beast` number, since 2 + 0 + 118 + 542 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2011854241) 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, 26352 + ... + 68688.

It is an arithmetic number, because the mean of its divisors is an integer number (40009410).

Almost surely, 2^2011854240 is an apocalyptic number.

2011854240 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 2011854240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3840903360).

2011854240 is an abundant number, since it is smaller than the sum of its proper divisors (5669952480).

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

2011854240 is a wasteful number, since it uses less digits than its factorization.

2011854240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42372 (or 42358 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2011854240 is about 44853.6981752898. The cubic root of 2011854240 is about 1262.4053824461.

The spelling of 2011854240 in words is "two billion, eleven million, eight hundred fifty-four thousand, two hundred forty".