2258219544840 has 480 divisors, whose sum is σ = 8845529128920. Its totient is φ = 515217604608.

The previous prime is 2258219544817. The next prime is 2258219544851. The reversal of 2258219544840 is 484459128522.

It is a happy number.

2258219544840 is a `hidden beast` number, since 2 + 2 + 5 + 8 + 2 + 19 + 544 + 84 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1893502594116 + 364716950724 = 1376046^2 + 603918^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 88416552 + ... + 88442088.

Almost surely, 2^{2258219544840} is an apocalyptic number.

2258219544840 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 2258219544840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4422764564460).

2258219544840 is an abundant number, since it is smaller than the sum of its proper divisors (6587309584080).

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

2258219544840 is a wasteful number, since it uses less digits than its factorization.

2258219544840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26131 (or 26111 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 2258219544840 in words is "two trillion, two hundred fifty-eight billion, two hundred nineteen million, five hundred forty-four thousand, eight hundred forty".