2263895101440 has 2080 divisors, whose sum is σ = 10108380733440. Its totient is φ = 472979865600.

The previous prime is 2263895101439. The next prime is 2263895101463. The reversal of 2263895101440 is 441015983622.

2263895101440 is a `hidden beast` number, since 2 + 2 + 6 + 3 + 89 + 510 + 14 + 40 = 666.

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6839562075 + ... + 6839562405.

Almost surely, 2^{2263895101440} is an apocalyptic number.

2263895101440 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 2263895101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5054190366720).

2263895101440 is an abundant number, since it is smaller than the sum of its proper divisors (7844485632000).

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

2263895101440 is a wasteful number, since it uses less digits than its factorization.

2263895101440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 2263895101440 in words is "two trillion, two hundred sixty-three billion, eight hundred ninety-five million, one hundred one thousand, four hundred forty".