2248284370800 has 240 divisors, whose sum is σ = 7831311208448. Its totient is φ = 548050406400.

The previous prime is 2248284370777. The next prime is 2248284370823. The reversal of 2248284370800 is 80734828422.

It is an interprime number because it is at equal distance from previous prime (2248284370777) and next prime (2248284370823).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2248284370800² (a number of 26 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2248284370800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 907185 + ... + 2306415.

Almost surely, 2^{2248284370800} is an apocalyptic number.

2248284370800 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 2248284370800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3915655604224).

2248284370800 is an abundant number, since it is smaller than the sum of its proper divisors (5583026837648).

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

2248284370800 is a wasteful number, since it uses less digits than its factorization.

2248284370800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399368 (or 1399357 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 48.

The spelling of 2248284370800 in words is "two trillion, two hundred forty-eight billion, two hundred eighty-four million, three hundred seventy thousand, eight hundred".