2609043840 has 192 divisors, whose sum is σ = 9702660240. Its totient is φ = 642207744.

The previous prime is 2609043799. The next prime is 2609043883. The reversal of 2609043840 is 483409062.

It is a happy number.

2609043840 is a `hidden beast` number, since 2 + 609 + 0 + 4 + 3 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 2609043795 and 2609043804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57459 + ... + 92301.

Almost surely, 2^2609043840 is an apocalyptic number.

2609043840 is a gapful number since it is divisible by the number (20) 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 2609043840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4851330120).

2609043840 is an abundant number, since it is smaller than the sum of its proper divisors (7093616400).

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

2609043840 is a wasteful number, since it uses less digits than its factorization.

2609043840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34881 (or 34866 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2609043840 is about 51078.8002991456. The cubic root of 2609043840 is about 1376.6613685623.

The spelling of 2609043840 in words is "two billion, six hundred nine million, forty-three thousand, eight hundred forty".