2462340612420 has 288 divisors, whose sum is σ = 8629205195520. Its totient is φ = 585213672960.

The previous prime is 2462340612419. The next prime is 2462340612427. The reversal of 2462340612420 is 242160432642.

2462340612420 is a `hidden beast` number, since 2 + 4 + 6 + 2 + 3 + 406 + 1 + 242 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2462340612427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1160265 + ... + 2504175.

It is an arithmetic number, because the mean of its divisors is an integer number (29962518040).

Almost surely, 2^{2462340612420} is an apocalyptic number.

2462340612420 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 2462340612420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4314602597760).

2462340612420 is an abundant number, since it is smaller than the sum of its proper divisors (6166864583100).

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

2462340612420 is a wasteful number, since it uses less digits than its factorization.

2462340612420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343977 (or 1343963 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 2462340612420 in words is "two trillion, four hundred sixty-two billion, three hundred forty million, six hundred twelve thousand, four hundred twenty".