2086529250240 has 896 divisors, whose sum is σ = 8226703180800. Its totient is φ = 494744371200.

The previous prime is 2086529250233. The next prime is 2086529250283. The reversal of 2086529250240 is 420529256802.

It is a happy number.

2086529250240 is a `hidden beast` number, since 2 + 0 + 8 + 6 + 52 + 92 + 502 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1303265440 + ... + 1303267040.

Almost surely, 2^{2086529250240} is an apocalyptic number.

2086529250240 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 2086529250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4113351590400).

2086529250240 is an abundant number, since it is smaller than the sum of its proper divisors (6140173930560).

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

2086529250240 is a wasteful number, since it uses less digits than its factorization.

2086529250240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130 (or 2114 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 2086529250240 in words is "two trillion, eighty-six billion, five hundred twenty-nine million, two hundred fifty thousand, two hundred forty".