2412280659360 has 768 divisors, whose sum is σ = 9026354921472. Its totient is φ = 533849702400.

The previous prime is 2412280659343. The next prime is 2412280659391. The reversal of 2412280659360 is 639560822142.

It is a happy number.

It is a super-3 number, since 3×2412280659360³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2795226289 + ... + 2795227151.

It is an arithmetic number, because the mean of its divisors is an integer number (11753066304).

Almost surely, 2^{2412280659360} is an apocalyptic number.

2412280659360 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 2412280659360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4513177460736).

2412280659360 is an abundant number, since it is smaller than the sum of its proper divisors (6614074262112).

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

2412280659360 is a wasteful number, since it uses less digits than its factorization.

2412280659360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 2412280659360 in words is "two trillion, four hundred twelve billion, two hundred eighty million, six hundred fifty-nine thousand, three hundred sixty".