2298206528640 has 512 divisors, whose sum is σ = 8886592512000. Its totient is φ = 556691927040.

The previous prime is 2298206528617. The next prime is 2298206528641. The reversal of 2298206528640 is 468256028922.

It is a happy number.

2298206528640 is a `hidden beast` number, since 2 + 2 + 98 + 20 + 6 + 528 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2298206528641) 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, 277322577 + ... + 277330863.

It is an arithmetic number, because the mean of its divisors is an integer number (17356626000).

Almost surely, 2^{2298206528640} is an apocalyptic number.

2298206528640 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 2298206528640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4443296256000).

2298206528640 is an abundant number, since it is smaller than the sum of its proper divisors (6588385983360).

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

2298206528640 is a wasteful number, since it uses less digits than its factorization.

2298206528640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9785 (or 9767 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 2298206528640 in words is "two trillion, two hundred ninety-eight billion, two hundred six million, five hundred twenty-eight thousand, six hundred forty".