2258852480 has 64 divisors (see below), whose sum is σ = 5442785280. Its totient is φ = 896394240.

The previous prime is 2258852473. The next prime is 2258852537. The reversal of 2258852480 is 842588522.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67385 + ... + 95175.

It is an arithmetic number, because the mean of its divisors is an integer number (85043520).

Almost surely, 2^2258852480 is an apocalyptic number.

2258852480 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 2258852480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721392640).

2258852480 is an abundant number, since it is smaller than the sum of its proper divisors (3183932800).

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

2258852480 is a wasteful number, since it uses less digits than its factorization.

2258852480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27937 (or 27925 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 44.

The square root of 2258852480 is about 47527.3866312887. The cubic root of 2258852480 is about 1312.0869712325.

The spelling of 2258852480 in words is "two billion, two hundred fifty-eight million, eight hundred fifty-two thousand, four hundred eighty".