2263319891280 has 400 divisors, whose sum is σ = 8998879701504. Its totient is φ = 516463257600.

The previous prime is 2263319891197. The next prime is 2263319891303. The reversal of 2263319891280 is 821989133622.

2263319891280 is a `hidden beast` number, since 2 + 26 + 331 + 9 + 8 + 9 + 1 + 280 = 666.

It is a super-2 number, since 2×2263319891280² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27219849 + ... + 27302871.

Almost surely, 2^{2263319891280} is an apocalyptic number.

2263319891280 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 2263319891280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4499439850752).

2263319891280 is an abundant number, since it is smaller than the sum of its proper divisors (6735559810224).

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

2263319891280 is a wasteful number, since it uses less digits than its factorization.

2263319891280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83656 (or 83641 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 2263319891280 in words is "two trillion, two hundred sixty-three billion, three hundred nineteen million, eight hundred ninety-one thousand, two hundred eighty".