2591094804480 has 2496 divisors, whose sum is σ = 12122092869120. Its totient is φ = 512325844992.

The previous prime is 2591094804479. The next prime is 2591094804539. The reversal of 2591094804480 is 844084901952.

It is a happy number.

2591094804480 is a `hidden beast` number, since 2 + 59 + 109 + 4 + 8 + 0 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 191 ways as a sum of consecutive naturals, for example, 11120578444 + ... + 11120578676.

It is an arithmetic number, because the mean of its divisors is an integer number (4856607720).

Almost surely, 2^{2591094804480} is an apocalyptic number.

2591094804480 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 2591094804480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6061046434560).

2591094804480 is an abundant number, since it is smaller than the sum of its proper divisors (9530998064640).

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

2591094804480 is a wasteful number, since it uses less digits than its factorization.

2591094804480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 2591094804480 in words is "two trillion, five hundred ninety-one billion, ninety-four million, eight hundred four thousand, four hundred eighty".