2004227607640 has 256 divisors, whose sum is σ = 4934688998400. Its totient is φ = 730002917376.

The previous prime is 2004227607623. The next prime is 2004227607653. The reversal of 2004227607640 is 467067224002.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2004227607593 and 2004227607602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 812413687 + ... + 812416153.

It is an arithmetic number, because the mean of its divisors is an integer number (19276128900).

Almost surely, 2^{2004227607640} is an apocalyptic number.

2004227607640 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 2004227607640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467344499200).

2004227607640 is an abundant number, since it is smaller than the sum of its proper divisors (2930461390760).

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

2004227607640 is a wasteful number, since it uses less digits than its factorization.

2004227607640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2874 (or 2870 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 40.

The spelling of 2004227607640 in words is "two trillion, four billion, two hundred twenty-seven million, six hundred seven thousand, six hundred forty".