2011863420 has 480 divisors, whose sum is σ = 7649832960. Its totient is φ = 432967680.

The previous prime is 2011863409. The next prime is 2011863437. The reversal of 2011863420 is 243681102.

2011863420 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 8 + 634 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20740812 + ... + 20740908.

It is an arithmetic number, because the mean of its divisors is an integer number (15937152).

Almost surely, 2^2011863420 is an apocalyptic number.

2011863420 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 2011863420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3824916480).

2011863420 is an abundant number, since it is smaller than the sum of its proper divisors (5637969540).

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

2011863420 is a wasteful number, since it uses less digits than its factorization.

2011863420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2011863420 is about 44853.8005078722. The cubic root of 2011863420 is about 1262.4073025427.

It can be divided in two parts, 20118 and 63420, that added together give a palindrome (83538).

The spelling of 2011863420 in words is "two billion, eleven million, eight hundred sixty-three thousand, four hundred twenty".