2686441464 has 480 divisors, whose sum is σ = 9493030800. Its totient is φ = 705438720.

The previous prime is 2686441441. The next prime is 2686441567. The reversal of 2686441464 is 4641446862.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 36800532 + ... + 36800604.

Almost surely, 2^2686441464 is an apocalyptic number.

2686441464 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 2686441464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4746515400).

2686441464 is an abundant number, since it is smaller than the sum of its proper divisors (6806589336).

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

2686441464 is a wasteful number, since it uses less digits than its factorization.

2686441464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 165 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 2686441464 is about 51830.8929500544. The cubic root of 2686441464 is about 1390.1418801744.

The spelling of 2686441464 in words is "two billion, six hundred eighty-six million, four hundred forty-one thousand, four hundred sixty-four".