2609832960 has 880 divisors, whose sum is σ = 11413416960. Its totient is φ = 557383680.

The previous prime is 2609832949. The next prime is 2609832961. The reversal of 2609832960 is 692389062.

2609832960 is a `hidden beast` number, since 2 + 609 + 8 + 32 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×2609832960² = 13622456158204723200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2609832961) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 84188145 + ... + 84188175.

It is an arithmetic number, because the mean of its divisors is an integer number (12969792).

Almost surely, 2^2609832960 is an apocalyptic number.

2609832960 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 2609832960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5706708480).

2609832960 is an abundant number, since it is smaller than the sum of its proper divisors (8803584000).

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

2609832960 is a wasteful number, since it uses less digits than its factorization.

2609832960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 77 counting only the distinct ones).

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

The square root of 2609832960 is about 51086.5242505301. The cubic root of 2609832960 is about 1376.8001475659.

The spelling of 2609832960 in words is "two billion, six hundred nine million, eight hundred thirty-two thousand, nine hundred sixty".