2368578401280 has 3168 divisors, whose sum is σ = 11253157493760. Its totient is φ = 454825082880.

The previous prime is 2368578401257. The next prime is 2368578401281. The reversal of 2368578401280 is 821048758632.

2368578401280 is a `hidden beast` number, since 2 + 3 + 6 + 8 + 578 + 40 + 1 + 28 + 0 = 666.

It is a super-2 number, since 2×2368578401280² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2368578401281) 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, 17288893372 + ... + 17288893508.

Almost surely, 2^{2368578401280} is an apocalyptic number.

2368578401280 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 2368578401280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5626578746880).

2368578401280 is an abundant number, since it is smaller than the sum of its proper divisors (8884579092480).

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

2368578401280 is a wasteful number, since it uses less digits than its factorization.

2368578401280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 2368578401280 in words is "two trillion, three hundred sixty-eight billion, five hundred seventy-eight million, four hundred one thousand, two hundred eighty".