2258122464 has 72 divisors (see below), whose sum is σ = 6915511512. Its totient is φ = 694805760.

The previous prime is 2258122453. The next prime is 2258122483. The reversal of 2258122464 is 4642218522.

2258122464 is a `hidden beast` number, since 22 + 58 + 122 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 297822 + ... + 305309.

It is an arithmetic number, because the mean of its divisors is an integer number (96048771).

Almost surely, 2^2258122464 is an apocalyptic number.

2258122464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2258122464 is an abundant number, since it is smaller than the sum of its proper divisors (4657389048).

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

2258122464 is a wasteful number, since it uses less digits than its factorization.

2258122464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603160 (or 603149 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 2258122464 is about 47519.7060596970. The cubic root of 2258122464 is about 1311.9456092364.

The spelling of 2258122464 in words is "two billion, two hundred fifty-eight million, one hundred twenty-two thousand, four hundred sixty-four".