2412400340 has 72 divisors (see below), whose sum is σ = 5974054632. Its totient is φ = 815754240.

The previous prime is 2412400313. The next prime is 2412400343. The reversal of 2412400340 is 430042142.

It can be written as a sum of positive squares in 4 ways, for example, as 3161284 + 2409239056 = 1778^2 + 49084^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2412400343) 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 23 ways as a sum of consecutive naturals, for example, 54680 + ... + 88400.

It is an arithmetic number, because the mean of its divisors is an integer number (82972981).

Almost surely, 2^2412400340 is an apocalyptic number.

2412400340 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 2412400340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2987027316).

2412400340 is an abundant number, since it is smaller than the sum of its proper divisors (3561654292).

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

2412400340 is a wasteful number, since it uses less digits than its factorization.

2412400340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33817 (or 33808 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2412400340 is about 49116.1922384055. The cubic root of 2412400340 is about 1341.1678279947.

Adding to 2412400340 its reverse (430042142), we get a palindrome (2842442482).

The spelling of 2412400340 in words is "two billion, four hundred twelve million, four hundred thousand, three hundred forty".