2086854000 has 320 divisors, whose sum is σ = 8390034432. Its totient is φ = 433536000.

The previous prime is 2086853953. The next prime is 2086854019. The reversal of 2086854000 is 4586802.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 459742 + ... + 464258.

Almost surely, 2^2086854000 is an apocalyptic number.

2086854000 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 2086854000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4195017216).

2086854000 is an abundant number, since it is smaller than the sum of its proper divisors (6303180432).

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

2086854000 is a wasteful number, since it uses less digits than its factorization.

2086854000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4561 (or 4545 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 2086854000 is about 45682.0971497588. The cubic root of 2086854000 is about 1277.9014277876.

It can be divided in two parts, 2086 and 854000, that added together give a triangular number (856086 = T₁₃₀₈).

The spelling of 2086854000 in words is "two billion, eighty-six million, eight hundred fifty-four thousand".