2245147056600 has 384 divisors, whose sum is σ = 8226772500480. Its totient is φ = 495657792000.

The previous prime is 2245147056539. The next prime is 2245147056643. The reversal of 2245147056600 is 66507415422.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 68078115 + ... + 68111085.

It is an arithmetic number, because the mean of its divisors is an integer number (21423886720).

Almost surely, 2^{2245147056600} is an apocalyptic number.

2245147056600 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 2245147056600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4113386250240).

2245147056600 is an abundant number, since it is smaller than the sum of its proper divisors (5981625443880).

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

2245147056600 is a wasteful number, since it uses less digits than its factorization.

2245147056600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33551 (or 33542 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 2245147056600 in words is "two trillion, two hundred forty-five billion, one hundred forty-seven million, fifty-six thousand, six hundred".