2609331984 has 120 divisors (see below), whose sum is σ = 8390034432. Its totient is φ = 741565440.

The previous prime is 2609331983. The next prime is 2609332009. The reversal of 2609331984 is 4891339062.

It is a happy number.

2609331984 is a `hidden beast` number, since 2 + 609 + 3 + 31 + 9 + 8 + 4 = 666.

2609331984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2609331984² = 13617226805450752512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2609331983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185752 + ... + 199304.

Almost surely, 2^2609331984 is an apocalyptic number.

2609331984 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 2609331984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4195017216).

2609331984 is an abundant number, since it is smaller than the sum of its proper divisors (5780702448).

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

2609331984 is a wasteful number, since it uses less digits than its factorization.

2609331984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13765 (or 13756 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 2609331984 is about 51081.6208043558. The cubic root of 2609331984 is about 1376.7120464013.

The spelling of 2609331984 in words is "two billion, six hundred nine million, three hundred thirty-one thousand, nine hundred eighty-four".