2004245994240 has 576 divisors, whose sum is σ = 8326624158720. Its totient is φ = 446937661440.

The previous prime is 2004245994221. The next prime is 2004245994241. The reversal of 2004245994240 is 424995424002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×2004245994240² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2004245994241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9817687 + ... + 10019753.

It is an arithmetic number, because the mean of its divisors is an integer number (14455944720).

Almost surely, 2^{2004245994240} is an apocalyptic number.

2004245994240 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 2004245994240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4163312079360).

2004245994240 is an abundant number, since it is smaller than the sum of its proper divisors (6322378164480).

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

2004245994240 is a wasteful number, since it uses less digits than its factorization.

2004245994240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202145 (or 202125 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 2004245994240 in words is "two trillion, four billion, two hundred forty-five million, nine hundred ninety-four thousand, two hundred forty".