2001229245400 has 384 divisors, whose sum is σ = 6026284293120. Its totient is φ = 599961600000.

The previous prime is 2001229245373. The next prime is 2001229245401. The reversal of 2001229245400 is 45429221002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001229245401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44807080 + ... + 44851720.

It is an arithmetic number, because the mean of its divisors is an integer number (15693448680).

Almost surely, 2^{2001229245400} is an apocalyptic number.

2001229245400 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 2001229245400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3013142146560).

2001229245400 is an abundant number, since it is smaller than the sum of its proper divisors (4025055047720).

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

2001229245400 is a wasteful number, since it uses less digits than its factorization.

2001229245400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44787 (or 44778 counting only the distinct ones).

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

The spelling of 2001229245400 in words is "two trillion, one billion, two hundred twenty-nine million, two hundred forty-five thousand, four hundred".