2258953840 has 240 divisors, whose sum is σ = 6441775200. Its totient is φ = 730920960.

The previous prime is 2258953831. The next prime is 2258953841. The reversal of 2258953840 is 483598522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2258953841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3649051 + ... + 3649669.

It is an arithmetic number, because the mean of its divisors is an integer number (26840730).

Almost surely, 2^2258953840 is an apocalyptic number.

2258953840 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 2258953840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3220887600).

2258953840 is an abundant number, since it is smaller than the sum of its proper divisors (4182821360).

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

2258953840 is a wasteful number, since it uses less digits than its factorization.

2258953840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 46.

The square root of 2258953840 is about 47528.4529518898. The cubic root of 2258953840 is about 1312.1065964105.

The spelling of 2258953840 in words is "two billion, two hundred fifty-eight million, nine hundred fifty-three thousand, eight hundred forty".