2258403840 has 960 divisors, whose sum is σ = 10417904640. Its totient is φ = 437944320.

The previous prime is 2258403827. The next prime is 2258403841. The reversal of 2258403840 is 483048522.

2258403840 is a `hidden beast` number, since 2 + 2 + 584 + 0 + 38 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 = 2258403795 and 2258403804.

It is not an unprimeable number, because it can be changed into a prime (2258403841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33707487 + ... + 33707553.

It is an arithmetic number, because the mean of its divisors is an integer number (10851984).

Almost surely, 2^2258403840 is an apocalyptic number.

2258403840 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 2258403840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5208952320).

2258403840 is an abundant number, since it is smaller than the sum of its proper divisors (8159500800).

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

2258403840 is a wasteful number, since it uses less digits than its factorization.

2258403840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 114 counting only the distinct ones).

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

The square root of 2258403840 is about 47522.6665918486. Note that the first 3 decimals coincide. The cubic root of 2258403840 is about 1312.0000991473. Note that the first 4 decimals are identical.

The spelling of 2258403840 in words is "two billion, two hundred fifty-eight million, four hundred three thousand, eight hundred forty".