2258072640 has 336 divisors, whose sum is σ = 8187903360. Its totient is φ = 592220160.

The previous prime is 2258072629. The next prime is 2258072657. The reversal of 2258072640 is 462708522.

2258072640 is a `hidden beast` number, since 2 + 2 + 5 + 8 + 0 + 7 + 2 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2258072595 and 2258072604.

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 47 ways as a sum of consecutive naturals, for example, 5520756 + ... + 5521164.

It is an arithmetic number, because the mean of its divisors is an integer number (24368760).

Almost surely, 2^2258072640 is an apocalyptic number.

2258072640 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 2258072640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4093951680).

2258072640 is an abundant number, since it is smaller than the sum of its proper divisors (5929830720).

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

2258072640 is an equidigital number, since it uses as much as digits as its factorization.

2258072640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2258072640 is about 47519.1818111381. The cubic root of 2258072640 is about 1311.9359600905.

The spelling of 2258072640 in words is "two billion, two hundred fifty-eight million, seventy-two thousand, six hundred forty".