2259974832390 has 256 divisors, whose sum is σ = 6925685760000. Its totient is φ = 518648158080.

The previous prime is 2259974832389. The next prime is 2259974832439. The reversal of 2259974832390 is 932384799522.

2259974832390 is a `hidden beast` number, since 2 + 2 + 599 + 7 + 4 + 8 + 3 + 2 + 39 + 0 = 666.

It is a super-2 number, since 2×2259974832390² (a number of 26 digits) contains 22 as substring.

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, 78931257 + ... + 78959883.

It is an arithmetic number, because the mean of its divisors is an integer number (27053460000).

Almost surely, 2^{2259974832390} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2259974832390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3462842880000).

2259974832390 is an abundant number, since it is smaller than the sum of its proper divisors (4665710927610).

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

2259974832390 is a wasteful number, since it uses less digits than its factorization.

2259974832390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30072 (or 30066 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 2259974832390 in words is "two trillion, two hundred fifty-nine billion, nine hundred seventy-four million, eight hundred thirty-two thousand, three hundred ninety".