2258745840 has 360 divisors, whose sum is σ = 8655182640. Its totient is φ = 526196736.

The previous prime is 2258745829. The next prime is 2258745847. The reversal of 2258745840 is 485478522.

2258745840 = T₄₃₅ + T₄₃₆ + ... + T₂₃₈₈.

2258745840 is a `hidden beast` number, since 22 + 587 + 4 + 5 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2258745847) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2311432 + ... + 2312408.

It is an arithmetic number, because the mean of its divisors is an integer number (24042174).

Almost surely, 2^2258745840 is an apocalyptic number.

2258745840 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 2258745840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4327591320).

2258745840 is an abundant number, since it is smaller than the sum of its proper divisors (6396436800).

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

2258745840 is a wasteful number, since it uses less digits than its factorization.

2258745840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The square root of 2258745840 is about 47526.2647385632. The cubic root of 2258745840 is about 1312.0663231146.

The spelling of 2258745840 in words is "two billion, two hundred fifty-eight million, seven hundred forty-five thousand, eight hundred forty".