2609470080 has 896 divisors, whose sum is σ = 11558868480. Its totient is φ = 549421056.

The previous prime is 2609470067. The next prime is 2609470081. The reversal of 2609470080 is 800749062.

2609470080 is a `hidden beast` number, since 2 + 609 + 47 + 0 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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 not an unprimeable number, because it can be changed into a prime (2609470081) 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 111 ways as a sum of consecutive naturals, for example, 55520617 + ... + 55520663.

Almost surely, 2^2609470080 is an apocalyptic number.

2609470080 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 2609470080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5779434240).

2609470080 is an abundant number, since it is smaller than the sum of its proper divisors (8949398400).

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

2609470080 is an equidigital number, since it uses as much as digits as its factorization.

2609470080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2609470080 is about 51082.9725055228. The cubic root of 2609470080 is about 1376.7363329587.

The spelling of 2609470080 in words is "two billion, six hundred nine million, four hundred seventy thousand, eighty".