2009455257600 has 1008 divisors, whose sum is σ = 8538174459360. Its totient is φ = 459244339200.

The previous prime is 2009455257577. The next prime is 2009455257619. The reversal of 2009455257600 is 67525549002.

2009455257600 is a `hidden beast` number, since 2 + 0 + 0 + 94 + 552 + 5 + 7 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 261269755 + ... + 261277445.

It is an arithmetic number, because the mean of its divisors is an integer number (8470411170).

Almost surely, 2^{2009455257600} is an apocalyptic number.

2009455257600 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 2009455257600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4269087229680).

2009455257600 is an abundant number, since it is smaller than the sum of its proper divisors (6528719201760).

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

2009455257600 is an frugal number, since it uses more digits than its factorization.

2009455257600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7748 (or 7708 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

It can be divided in two parts, 200945 and 5257600, that added together give a palindrome (5458545).

The spelling of 2009455257600 in words is "two trillion, nine billion, four hundred fifty-five million, two hundred fifty-seven thousand, six hundred".