2259509091840 has 3840 divisors, whose sum is σ = 11548600842240. Its totient is φ = 404288962560.

The previous prime is 2259509091821. The next prime is 2259509091887. The reversal of 2259509091840 is 481909059522.

2259509091840 is a `hidden beast` number, since 2 + 2 + 5 + 9 + 509 + 0 + 91 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-3 number, since 3×2259509091840³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 19995655624 + ... + 19995655736.

It is an arithmetic number, because the mean of its divisors is an integer number (3007448136).

Almost surely, 2^{2259509091840} is an apocalyptic number.

2259509091840 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 2259509091840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5774300421120).

2259509091840 is an abundant number, since it is smaller than the sum of its proper divisors (9289091750400).

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

2259509091840 is a wasteful number, since it uses less digits than its factorization.

2259509091840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 2259509091840 in words is "two trillion, two hundred fifty-nine billion, five hundred nine million, ninety-one thousand, eight hundred forty".