2263421828160 has 2016 divisors, whose sum is σ = 9354964515840. Its totient is φ = 520815329280.

The previous prime is 2263421828117. The next prime is 2263421828167. The reversal of 2263421828160 is 618281243622.

2263421828160 is a `hidden beast` number, since 2 + 2 + 63 + 421 + 8 + 2 + 8 + 160 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2263421828167) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 73013607345 + ... + 73013607375.

Almost surely, 2^{2263421828160} is an apocalyptic number.

2263421828160 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 2263421828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4677482257920).

2263421828160 is an abundant number, since it is smaller than the sum of its proper divisors (7091542687680).

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

2263421828160 is an equidigital number, since it uses as much as digits as its factorization.

2263421828160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

It can be divided in two parts, 226342 and 1828160, that added together give a palindrome (2054502).

The spelling of 2263421828160 in words is "two trillion, two hundred sixty-three billion, four hundred twenty-one million, eight hundred twenty-eight thousand, one hundred sixty".