2258251326240 has 1728 divisors, whose sum is σ = 9653814576000. Its totient is φ = 439497031680.

The previous prime is 2258251326239. The next prime is 2258251326269. The reversal of 2258251326240 is 426231528522.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2258251326192 and 2258251326201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4525553511 + ... + 4525554009.

It is an arithmetic number, because the mean of its divisors is an integer number (5586698250).

Almost surely, 2^{2258251326240} is an apocalyptic number.

2258251326240 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 2258251326240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4826907288000).

2258251326240 is an abundant number, since it is smaller than the sum of its proper divisors (7395563249760).

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

2258251326240 is a wasteful number, since it uses less digits than its factorization.

2258251326240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 2258251326240 in words is "two trillion, two hundred fifty-eight billion, two hundred fifty-one million, three hundred twenty-six thousand, two hundred forty".