2263528189440 has 480 divisors, whose sum is σ = 8964177970176. Its totient is φ = 517086167040.

The previous prime is 2263528189411. The next prime is 2263528189463. The reversal of 2263528189440 is 449818253622.

2263528189440 is a `hidden beast` number, since 2 + 2 + 63 + 528 + 18 + 9 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 432711625 + ... + 432716855.

Almost surely, 2^{2263528189440} is an apocalyptic number.

2263528189440 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 2263528189440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4482088985088).

2263528189440 is an abundant number, since it is smaller than the sum of its proper divisors (6700649780736).

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

2263528189440 is a wasteful number, since it uses less digits than its factorization.

2263528189440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7950 (or 7931 counting only the distinct ones).

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

The spelling of 2263528189440 in words is "two trillion, two hundred sixty-three billion, five hundred twenty-eight million, one hundred eighty-nine thousand, four hundred forty".