2086540560 has 800 divisors, whose sum is σ = 8711442432. Its totient is φ = 457850880.

The previous prime is 2086540549. The next prime is 2086540579. The reversal of 2086540560 is 650456802.

It is a super-2 number, since 2×2086540560² = 8707303017050227200, which contains 22 as substring.

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

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, 44394457 + ... + 44394503.

Almost surely, 2^2086540560 is an apocalyptic number.

2086540560 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 2086540560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4355721216).

2086540560 is an abundant number, since it is smaller than the sum of its proper divisors (6624901872).

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

2086540560 is a wasteful number, since it uses less digits than its factorization.

2086540560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2086540560 is about 45678.6663553130. Note that the first 3 decimals coincide. The cubic root of 2086540560 is about 1277.8374454361.

It can be divided in two parts, 20865 and 40560, that added together give a triangular number (61425 = T₃₅₀).

The spelling of 2086540560 in words is "two billion, eighty-six million, five hundred forty thousand, five hundred sixty".