2248641640 has 128 divisors (see below), whose sum is σ = 6125414400. Its totient is φ = 725725440.

The previous prime is 2248641623. The next prime is 2248641673. The reversal of 2248641640 is 461468422.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2248641640.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 887175 + ... + 889705.

It is an arithmetic number, because the mean of its divisors is an integer number (47854800).

Almost surely, 2^2248641640 is an apocalyptic number.

2248641640 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 2248641640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3062707200).

2248641640 is an abundant number, since it is smaller than the sum of its proper divisors (3876772760).

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

2248641640 is a wasteful number, since it uses less digits than its factorization.

2248641640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2735 (or 2731 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

The square root of 2248641640 is about 47419.8443692090. The cubic root of 2248641640 is about 1310.1069469628.

The spelling of 2248641640 in words is "two billion, two hundred forty-eight million, six hundred forty-one thousand, six hundred forty".