2202545413200 has 480 divisors, whose sum is σ = 8144153026560. Its totient is φ = 503215718400.

The previous prime is 2202545413183. The next prime is 2202545413217. The reversal of 2202545413200 is 23145452022.

It is an interprime number because it is at equal distance from previous prime (2202545413183) and next prime (2202545413217).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 95 ways as a sum of consecutive naturals, for example, 48381649 + ... + 48427151.

It is an arithmetic number, because the mean of its divisors is an integer number (16966985472).

Almost surely, 2^{2202545413200} is an apocalyptic number.

2202545413200 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 2202545413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4072076513280).

2202545413200 is an abundant number, since it is smaller than the sum of its proper divisors (5941607613360).

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

2202545413200 is a wasteful number, since it uses less digits than its factorization.

2202545413200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45747 (or 45736 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 2202545413200 in words is "two trillion, two hundred two billion, five hundred forty-five million, four hundred thirteen thousand, two hundred".