2086252416 has 128 divisors (see below), whose sum is σ = 6187238400. Its totient is φ = 692043264.

The previous prime is 2086252387. The next prime is 2086252423. The reversal of 2086252416 is 6142526802.

It is a happy number.

2086252416 is a `hidden beast` number, since 2 + 0 + 8 + 625 + 24 + 1 + 6 = 666.

2086252416 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 769335 + ... + 772041.

It is an arithmetic number, because the mean of its divisors is an integer number (48337800).

Almost surely, 2^2086252416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2086252416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3093619200).

2086252416 is an abundant number, since it is smaller than the sum of its proper divisors (4100985984).

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

2086252416 is a wasteful number, since it uses less digits than its factorization.

2086252416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2953 (or 2935 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2086252416 is about 45675.5122138767. The cubic root of 2086252416 is about 1277.7786210914.

The spelling of 2086252416 in words is "two billion, eighty-six million, two hundred fifty-two thousand, four hundred sixteen".