2086531440 has 320 divisors, whose sum is σ = 7735219200. Its totient is φ = 455196672.

The previous prime is 2086531367. The next prime is 2086531471. The reversal of 2086531440 is 441356802.

It is a super-2 number, since 2×2086531440² = 8707226900216947200, which contains 22 as substring.

It is a congruent number.

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, 5505171 + ... + 5505549.

It is an arithmetic number, because the mean of its divisors is an integer number (24172560).

Almost surely, 2^2086531440 is an apocalyptic number.

2086531440 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 2086531440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3867609600).

2086531440 is an abundant number, since it is smaller than the sum of its proper divisors (5648687760).

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

2086531440 is a wasteful number, since it uses less digits than its factorization.

2086531440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 2086531440 is about 45678.5665274207. The cubic root of 2086531440 is about 1277.8355836791.

The spelling of 2086531440 in words is "two billion, eighty-six million, five hundred thirty-one thousand, four hundred forty".