2259305478144 has 1152 divisors, whose sum is σ = 8113525056000. Its totient is φ = 619014389760.

The previous prime is 2259305478127. The next prime is 2259305478169. The reversal of 2259305478144 is 4418745039522.

It is a happy number.

2259305478144 is a `hidden beast` number, since 2 + 2 + 5 + 93 + 0 + 547 + 8 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×2259305478144² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 3771795157 + ... + 3771795755.

It is an arithmetic number, because the mean of its divisors is an integer number (7042990500).

Almost surely, 2^{2259305478144} is an apocalyptic number.

2259305478144 is a gapful number since it is divisible by the number (24) 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 2259305478144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4056762528000).

2259305478144 is an abundant number, since it is smaller than the sum of its proper divisors (5854219577856).

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

2259305478144 is a wasteful number, since it uses less digits than its factorization.

2259305478144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 2259305478144 in words is "two trillion, two hundred fifty-nine billion, three hundred five million, four hundred seventy-eight thousand, one hundred forty-four".