2145221413600 has 288 divisors, whose sum is σ = 5426956402560. Its totient is φ = 827590901760.

The previous prime is 2145221413571. The next prime is 2145221413603. The reversal of 2145221413600 is 63141225412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145221413603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 807383472 + ... + 807386128.

It is an arithmetic number, because the mean of its divisors is an integer number (18843598620).

Almost surely, 2^{2145221413600} is an apocalyptic number.

2145221413600 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 2145221413600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2713478201280).

2145221413600 is an abundant number, since it is smaller than the sum of its proper divisors (3281734988960).

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

2145221413600 is a wasteful number, since it uses less digits than its factorization.

2145221413600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3030 (or 3017 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 2145221413600 in words is "two trillion, one hundred forty-five billion, two hundred twenty-one million, four hundred thirteen thousand, six hundred".