2248259676000 has 384 divisors, whose sum is σ = 8061924753792. Its totient is φ = 544343040000.

The previous prime is 2248259675983. The next prime is 2248259676017. The reversal of 2248259676000 is 6769528422.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2248259675983) and next prime (2248259676017).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9397870 + ... + 9634130.

It is an arithmetic number, because the mean of its divisors is an integer number (20994595713).

Almost surely, 2^{2248259676000} is an apocalyptic number.

2248259676000 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 2248259676000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4030962376896).

2248259676000 is an abundant number, since it is smaller than the sum of its proper divisors (5813665077792).

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

2248259676000 is a wasteful number, since it uses less digits than its factorization.

2248259676000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236363 (or 236345 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 2248259676000 in words is "two trillion, two hundred forty-eight billion, two hundred fifty-nine million, six hundred seventy-six thousand".