2263138374240 has 288 divisors, whose sum is σ = 8182903974336. Its totient is φ = 567610736640.

The previous prime is 2263138374229. The next prime is 2263138374271. The reversal of 2263138374240 is 424738313622.

2263138374240 is a `hidden beast` number, since 2 + 2 + 6 + 3 + 1 + 38 + 374 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36223669 + ... + 36286091.

It is an arithmetic number, because the mean of its divisors is an integer number (28412861022).

Almost surely, 2^{2263138374240} is an apocalyptic number.

2263138374240 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 2263138374240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4091451987168).

2263138374240 is an abundant number, since it is smaller than the sum of its proper divisors (5919765600096).

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

2263138374240 is a wasteful number, since it uses less digits than its factorization.

2263138374240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63942 (or 63931 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 2263138374240 in words is "two trillion, two hundred sixty-three billion, one hundred thirty-eight million, three hundred seventy-four thousand, two hundred forty".