2412340000 has 120 divisors (see below), whose sum is σ = 6782928768. Its totient is φ = 827040000.

The previous prime is 2412339983. The next prime is 2412340019. The reversal of 2412340000 is 432142.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 131385 + ... + 148615.

Almost surely, 2^2412340000 is an apocalyptic number.

2412340000 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 2412340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3391464384).

2412340000 is an abundant number, since it is smaller than the sum of its proper divisors (4370588768).

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

2412340000 is an equidigital number, since it uses as much as digits as its factorization.

2412340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17268 (or 17245 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2412340000 is about 49115.5779768497. The cubic root of 2412340000 is about 1341.1566459450.

Adding to 2412340000 its reverse (432142), we get a palindrome (2412772142).

The spelling of 2412340000 in words is "two billion, four hundred twelve million, three hundred forty thousand".