2248458960 has 80 divisors (see below), whose sum is σ = 7603888320. Its totient is φ = 545080320.

The previous prime is 2248458959. The next prime is 2248458967. The reversal of 2248458960 is 698548422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2248458967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 423205 + ... + 428484.

It is an arithmetic number, because the mean of its divisors is an integer number (95048604).

Almost surely, 2^2248458960 is an apocalyptic number.

2248458960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2248458960 is an abundant number, since it is smaller than the sum of its proper divisors (5355429360).

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

2248458960 is a wasteful number, since it uses less digits than its factorization.

2248458960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851716 (or 851710 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The square root of 2248458960 is about 47417.9181322841. The cubic root of 2248458960 is about 1310.0714682373.

The spelling of 2248458960 in words is "two billion, two hundred forty-eight million, four hundred fifty-eight thousand, nine hundred sixty".