2258150400000 has 1764 divisors, whose sum is σ = 9302452757262. Its totient is φ = 547430400000.

The previous prime is 2258150399957. The next prime is 2258150400031. The reversal of 2258150400000 is 40518522.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2258150400000 is a `hidden beast` number, since 2 + 258 + 1 + 5 + 0 + 400 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3251736576 + 2254898663424 = 57024^2 + 1501632^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 205286399995 + ... + 205286400005.

Almost surely, 2^{2258150400000} is an apocalyptic number.

2258150400000 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 2258150400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4651226378631).

2258150400000 is an abundant number, since it is smaller than the sum of its proper divisors (7044302357262).

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

2258150400000 is an frugal number, since it uses more digits than its factorization.

2258150400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 2258150400000 its reverse (40518522), we get a palindrome (2258190918522).

The spelling of 2258150400000 in words is "two trillion, two hundred fifty-eight billion, one hundred fifty million, four hundred thousand".