2287409913360 has 2880 divisors, whose sum is σ = 10327232348160. Its totient is φ = 465589555200.

The previous prime is 2287409913359. The next prime is 2287409913377. The reversal of 2287409913360 is 633199047822.

2287409913360 is a `hidden beast` number, since 22 + 87 + 409 + 9 + 133 + 6 + 0 = 666.

It is a super-2 number, since 2×2287409913360² (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 junction number, because it is equal to n+sod(n) for n = 2287409913297 and 2287409913306.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 18011101617 + ... + 18011101743.

Almost surely, 2^{2287409913360} is an apocalyptic number.

2287409913360 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 2287409913360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5163616174080).

2287409913360 is an abundant number, since it is smaller than the sum of its proper divisors (8039822434800).

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

2287409913360 is a wasteful number, since it uses less digits than its factorization.

2287409913360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 2287409913360 in words is "two trillion, two hundred eighty-seven billion, four hundred nine million, nine hundred thirteen thousand, three hundred sixty".