2258485020 has 288 divisors, whose sum is σ = 7974832320. Its totient is φ = 511303680.

The previous prime is 2258485007. The next prime is 2258485043. The reversal of 2258485020 is 205848522.

2258485020 is a `hidden beast` number, since 2 + 2 + 584 + 8 + 50 + 20 = 666.

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, 7707994 + ... + 7708286.

It is an arithmetic number, because the mean of its divisors is an integer number (27690390).

Almost surely, 2^2258485020 is an apocalyptic number.

2258485020 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 2258485020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3987416160).

2258485020 is an abundant number, since it is smaller than the sum of its proper divisors (5716347300).

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

2258485020 is a wasteful number, since it uses less digits than its factorization.

2258485020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 2258485020 is about 47523.5207029109. The cubic root of 2258485020 is about 1312.0158192310.

The spelling of 2258485020 in words is "two billion, two hundred fifty-eight million, four hundred eighty-five thousand, twenty".