2044202001600 has 672 divisors, whose sum is σ = 7433287810560. Its totient is φ = 487710720000.

The previous prime is 2044202001587. The next prime is 2044202001601. The reversal of 2044202001600 is 61002024402.

It is not an unprimeable number, because it can be changed into a prime (2044202001601) 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, 900925266 + ... + 900927534.

Almost surely, 2^{2044202001600} is an apocalyptic number.

2044202001600 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 2044202001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3716643905280).

2044202001600 is an abundant number, since it is smaller than the sum of its proper divisors (5389085808960).

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

2044202001600 is a wasteful number, since it uses less digits than its factorization.

2044202001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2569 (or 2554 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The spelling of 2044202001600 in words is "two trillion, forty-four billion, two hundred two million, one thousand, six hundred".