2258380800 has 648 divisors, whose sum is σ = 9060064650. Its totient is φ = 536739840.

The previous prime is 2258380799. The next prime is 2258380801. The reversal of 2258380800 is 80838522.

It is an interprime number because it is at equal distance from previous prime (2258380799) and next prime (2258380801).

It can be written as a sum of positive squares in 9 ways, for example, as 36578304 + 2221802496 = 6048^2 + 47136^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2258380801) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 77875186 + ... + 77875214.

Almost surely, 2^2258380800 is an apocalyptic number.

2258380800 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 2258380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4530032325).

2258380800 is an abundant number, since it is smaller than the sum of its proper divisors (6801683850).

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

2258380800 is a wasteful number, since it uses less digits than its factorization.

2258380800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2258380800 is about 47522.4241805908. The cubic root of 2258380800 is about 1311.9956375028.

It can be divided in two parts, 225 and 8380800, that added together give a square (8381025 = 2895²).

The spelling of 2258380800 in words is "two billion, two hundred fifty-eight million, three hundred eighty thousand, eight hundred".