2296553948640 has 576 divisors, whose sum is σ = 9647489359872. Its totient is φ = 485905305600.

The previous prime is 2296553948603. The next prime is 2296553948653. The reversal of 2296553948640 is 468493556922.

It is a happy number.

2296553948640 is a `hidden beast` number, since 2 + 2 + 9 + 65 + 53 + 9 + 486 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7027270 + ... + 7346810.

It is an arithmetic number, because the mean of its divisors is an integer number (16749113472).

Almost surely, 2^{2296553948640} is an apocalyptic number.

2296553948640 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 2296553948640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4823744679936).

2296553948640 is an abundant number, since it is smaller than the sum of its proper divisors (7350935411232).

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

2296553948640 is a wasteful number, since it uses less digits than its factorization.

2296553948640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319623 (or 319612 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 2296553948640 in words is "two trillion, two hundred ninety-six billion, five hundred fifty-three million, nine hundred forty-eight thousand, six hundred forty".