2086746624 has 200 divisors, whose sum is σ = 6329767488. Its totient is φ = 684288000.

The previous prime is 2086746601. The next prime is 2086746653. The reversal of 2086746624 is 4266476802.

It is a super-2 number, since 2×2086746624² = 8709022945550794752, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2086746624.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2778249 + ... + 2778999.

Almost surely, 2^2086746624 is an apocalyptic number.

2086746624 is a gapful number since it is divisible by the number (24) 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 2086746624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3164883744).

2086746624 is an abundant number, since it is smaller than the sum of its proper divisors (4243020864).

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

2086746624 is an frugal number, since it uses more digits than its factorization.

2086746624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 2086746624 is about 45680.9218821162. The cubic root of 2086746624 is about 1277.8795098995.

The spelling of 2086746624 in words is "two billion, eighty-six million, seven hundred forty-six thousand, six hundred twenty-four".