2245629600000 has 648 divisors, whose sum is σ = 8227140319944. Its totient is φ = 588902400000.

The previous prime is 2245629599911. The next prime is 2245629600017. The reversal of 2245629600000 is 69265422.

2245629600000 is a `hidden beast` number, since 2 + 2 + 4 + 562 + 96 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1514317291776 + 731312308224 = 1230576^2 + 855168^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 439197444 + ... + 439202556.

Almost surely, 2^{2245629600000} is an apocalyptic number.

2245629600000 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 2245629600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4113570159972).

2245629600000 is an abundant number, since it is smaller than the sum of its proper divisors (5981510719944).

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

2245629600000 is an frugal number, since it uses more digits than its factorization.

2245629600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5221 (or 5184 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 2245629600000 in words is "two trillion, two hundred forty-five billion, six hundred twenty-nine million, six hundred thousand".