2085636840 has 256 divisors, whose sum is σ = 7970918400. Its totient is φ = 425005056.

The previous prime is 2085636811. The next prime is 2085636851. The reversal of 2085636840 is 486365802.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2085636792 and 2085636801.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 267477 + ... + 275163.

It is an arithmetic number, because the mean of its divisors is an integer number (31136400).

Almost surely, 2^2085636840 is an apocalyptic number.

2085636840 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 2085636840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3985459200).

2085636840 is an abundant number, since it is smaller than the sum of its proper divisors (5885281560).

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

2085636840 is a wasteful number, since it uses less digits than its factorization.

2085636840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7744 (or 7740 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 2085636840 is about 45668.7731387652. The cubic root of 2085636840 is about 1277.6529336431.

The spelling of 2085636840 in words is "two billion, eighty-five million, six hundred thirty-six thousand, eight hundred forty".