2086074144 has 288 divisors, whose sum is σ = 7786920960. Its totient is φ = 513216000.

The previous prime is 2086074121. The next prime is 2086074149. The reversal of 2086074144 is 4414706802.

2086074144 is a `hidden beast` number, since 2 + 0 + 8 + 607 + 4 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2086074099 and 2086074108.

It is not an unprimeable number, because it can be changed into a prime (2086074149) by changing a digit.

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, 418869 + ... + 423819.

It is an arithmetic number, because the mean of its divisors is an integer number (27037920).

Almost surely, 2^2086074144 is an apocalyptic number.

2086074144 is a gapful number since it is divisible by the number (24) 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 2086074144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3893460480).

2086074144 is an abundant number, since it is smaller than the sum of its proper divisors (5700846816).

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

2086074144 is a wasteful number, since it uses less digits than its factorization.

2086074144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5004 (or 4993 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2086074144 is about 45673.5606669767. The cubic root of 2086074144 is about 1277.7422243068.

The spelling of 2086074144 in words is "two billion, eighty-six million, seventy-four thousand, one hundred forty-four".