2258087220 has 288 divisors, whose sum is σ = 7612690176. Its totient is φ = 559872000.

The previous prime is 2258087201. The next prime is 2258087239. The reversal of 2258087220 is 227808522.

2258087220 is a `hidden beast` number, since 2 + 2 + 580 + 8 + 72 + 2 + 0 = 666.

2258087220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2258087201) and next prime (2258087239).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12475530 + ... + 12475710.

It is an arithmetic number, because the mean of its divisors is an integer number (26432952).

Almost surely, 2^2258087220 is an apocalyptic number.

2258087220 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 2258087220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3806345088).

2258087220 is an abundant number, since it is smaller than the sum of its proper divisors (5354602956).

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

2258087220 is a wasteful number, since it uses less digits than its factorization.

2258087220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 2258087220 is about 47519.3352226228. The cubic root of 2258087220 is about 1311.9387837353.

The spelling of 2258087220 in words is "two billion, two hundred fifty-eight million, eighty-seven thousand, two hundred twenty".