2258150400 has 693 divisors, whose sum is σ = 9224680633. Its totient is φ = 547430400.

The previous prime is 2258150393. The next prime is 2258150413. The reversal of 2258150400 is 40518522.

It is a happy number.

The square root of 2258150400 is 47520.

It is a perfect power (a square), and thus also a powerful number.

2258150400 is a `hidden beast` number, since 2 + 258 + 1 + 5 + 0 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 812934144 + 1445216256 = 28512^2 + 38016^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 205286395 + ... + 205286405.

Almost surely, 2^2258150400 is an apocalyptic number.

2258150400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2258150400 is the 47520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2258150400

2258150400 is an abundant number, since it is smaller than the sum of its proper divisors (6966530233).

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

2258150400 is an equidigital number, since it uses as much as digits as its factorization.

2258150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 21 counting only the distinct ones).

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

The cubic root of 2258150400 is about 1311.9510193890.

Adding to 2258150400 its reverse (40518522), we get a palindrome (2298668922).

The spelling of 2258150400 in words is "two billion, two hundred fifty-eight million, one hundred fifty thousand, four hundred".