2406312593280 has 896 divisors, whose sum is σ = 9211776019200. Its totient is φ = 599466147840.

The previous prime is 2406312593239. The next prime is 2406312593281. The reversal of 2406312593280 is 823952136042.

2406312593280 is a `hidden beast` number, since 2 + 4 + 0 + 6 + 31 + 2 + 593 + 28 + 0 = 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 (2406312593281) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 419434572 + ... + 419440308.

Almost surely, 2^{2406312593280} is an apocalyptic number.

2406312593280 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 2406312593280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4605888009600).

2406312593280 is an abundant number, since it is smaller than the sum of its proper divisors (6805463425920).

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

2406312593280 is an equidigital number, since it uses as much as digits as its factorization.

2406312593280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5834 (or 5807 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 2406312593280 in words is "two trillion, four hundred six billion, three hundred twelve million, five hundred ninety-three thousand, two hundred eighty".