2412034100 has 144 divisors (see below), whose sum is σ = 6171271680. Its totient is φ = 801100800.

The previous prime is 2412034091. The next prime is 2412034109. The reversal of 2412034100 is 14302142.

It is an interprime number because it is at equal distance from previous prime (2412034091) and next prime (2412034109).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2412034109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6572117 + ... + 6572483.

Almost surely, 2^2412034100 is an apocalyptic number.

2412034100 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 2412034100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3085635840).

2412034100 is an abundant number, since it is smaller than the sum of its proper divisors (3759237580).

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

2412034100 is a wasteful number, since it uses less digits than its factorization.

2412034100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2412034100 is about 49112.4637948454. The cubic root of 2412034100 is about 1341.0999544946.

Adding to 2412034100 its reverse (14302142), we get a palindrome (2426336242).

The spelling of 2412034100 in words is "two billion, four hundred twelve million, thirty-four thousand, one hundred".