2609838240 has 48 divisors (see below), whose sum is σ = 8220991968. Its totient is φ = 695956736.

The previous prime is 2609838239. The next prime is 2609838299. The reversal of 2609838240 is 428389062.

2609838240 is digitally balanced in base 2, 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 (48).

It is a super-2 number, since 2×2609838240² = 13622511277932595200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2609838192 and 2609838201.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2718102 + ... + 2719061.

It is an arithmetic number, because the mean of its divisors is an integer number (171270666).

Almost surely, 2^2609838240 is an apocalyptic number.

2609838240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2609838240 is an abundant number, since it is smaller than the sum of its proper divisors (5611153728).

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

2609838240 is a wasteful number, since it uses less digits than its factorization.

2609838240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5437181 (or 5437173 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 2609838240 is about 51086.5759275370. The cubic root of 2609838240 is about 1376.8010760416.

The spelling of 2609838240 in words is "two billion, six hundred nine million, eight hundred thirty-eight thousand, two hundred forty".