2259508417920 has 1024 divisors, whose sum is σ = 9364755456000. Its totient is φ = 509886627840.

The previous prime is 2259508417919. The next prime is 2259508417961. The reversal of 2259508417920 is 297148059522.

2259508417920 is a `hidden beast` number, since 2 + 2 + 5 + 9 + 508 + 41 + 7 + 92 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 132304422 + ... + 132321498.

It is an arithmetic number, because the mean of its divisors is an integer number (9145269000).

Almost surely, 2^{2259508417920} is an apocalyptic number.

2259508417920 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 2259508417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4682377728000).

2259508417920 is an abundant number, since it is smaller than the sum of its proper divisors (7105247038080).

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

2259508417920 is a wasteful number, since it uses less digits than its factorization.

2259508417920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17168 (or 17150 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 2259508417920 in words is "two trillion, two hundred fifty-nine billion, five hundred eight million, four hundred seventeen thousand, nine hundred twenty".