2248213094400 has 1344 divisors, whose sum is σ = 9283105843200. Its totient is φ = 467423723520.

The previous prime is 2248213094353. The next prime is 2248213094423. The reversal of 2248213094400 is 44903128422.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×2248213094400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4416921346 + ... + 4416921854.

It is an arithmetic number, because the mean of its divisors is an integer number (6907072800).

Almost surely, 2^{2248213094400} is an apocalyptic number.

2248213094400 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 2248213094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4641552921600).

2248213094400 is an abundant number, since it is smaller than the sum of its proper divisors (7034892748800).

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

2248213094400 is a wasteful number, since it uses less digits than its factorization.

2248213094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 2248213094400 in words is "two trillion, two hundred forty-eight billion, two hundred thirteen million, ninety-four thousand, four hundred".