2609450380800 has 600 divisors, whose sum is σ = 9766627239600. Its totient is φ = 688010526720.

The previous prime is 2609450380753. The next prime is 2609450380807. The reversal of 2609450380800 is 80830549062.

2609450380800 is a `hidden beast` number, since 2 + 60 + 9 + 4 + 503 + 8 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2609450380807) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 92261061 + ... + 92289339.

It is an arithmetic number, because the mean of its divisors is an integer number (16277712066).

Almost surely, 2^{2609450380800} is an apocalyptic number.

2609450380800 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 2609450380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4883313619800).

2609450380800 is an abundant number, since it is smaller than the sum of its proper divisors (7157176858800).

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

2609450380800 is an equidigital number, since it uses as much as digits as its factorization.

2609450380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28408 (or 28378 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 2609450380800 in words is "two trillion, six hundred nine billion, four hundred fifty million, three hundred eighty thousand, eight hundred".