2253282398640 has 480 divisors, whose sum is σ = 9418238444160. Its totient is φ = 470074834944.

The previous prime is 2253282398623. The next prime is 2253282398663. The reversal of 2253282398640 is 468932823522.

It is a happy number.

2253282398640 is a `hidden beast` number, since 2 + 2 + 5 + 328 + 239 + 86 + 4 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5638074 + ... + 6024486.

It is an arithmetic number, because the mean of its divisors is an integer number (19621330092).

Almost surely, 2^{2253282398640} is an apocalyptic number.

2253282398640 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 2253282398640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4709119222080).

2253282398640 is an abundant number, since it is smaller than the sum of its proper divisors (7164956045520).

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

2253282398640 is a wasteful number, since it uses less digits than its factorization.

2253282398640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386541 (or 386532 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 2253282398640 in words is "two trillion, two hundred fifty-three billion, two hundred eighty-two million, three hundred ninety-eight thousand, six hundred forty".