2258876160 has 180 divisors, whose sum is σ = 8083042968. Its totient is φ = 602339328.

The previous prime is 2258876153. The next prime is 2258876171. The reversal of 2258876160 is 616788522.

2258876160 is a `hidden beast` number, since 2 + 2 + 588 + 7 + 6 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 92787 + ... + 114573.

Almost surely, 2^2258876160 is an apocalyptic number.

2258876160 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 2258876160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4041521484).

2258876160 is an abundant number, since it is smaller than the sum of its proper divisors (5824166808).

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

2258876160 is an equidigital number, since it uses as much as digits as its factorization.

2258876160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21820 (or 21797 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2258876160 is about 47527.6357501612. The cubic root of 2258876160 is about 1312.0915561727.

The spelling of 2258876160 in words is "two billion, two hundred fifty-eight million, eight hundred seventy-six thousand, one hundred sixty".