2258719920 has 120 divisors (see below), whose sum is σ = 7607879136. Its totient is φ = 600551424.

The previous prime is 2258719901. The next prime is 2258719933. The reversal of 2258719920 is 299178522.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249717 + ... + 258603.

Almost surely, 2^2258719920 is an apocalyptic number.

2258719920 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 2258719920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3803939568).

2258719920 is an abundant number, since it is smaller than the sum of its proper divisors (5349159216).

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

2258719920 is a wasteful number, since it uses less digits than its factorization.

2258719920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9259 (or 9250 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 2258719920 is about 47525.9920464581. The cubic root of 2258719920 is about 1312.0613042691.

The spelling of 2258719920 in words is "two billion, two hundred fifty-eight million, seven hundred nineteen thousand, nine hundred twenty".