2412900 has 108 divisors (see below), whose sum is σ = 8666112. Its totient is φ = 550080.

The previous prime is 2412899. The next prime is 2412941. The reversal of 2412900 is 92142.

2412900 = 19² + 20² + ... + 193².

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6109 + ... + 6491.

2^2412900 is an apocalyptic number.

2412900 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 2412900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4333056).

2412900 is an abundant number, since it is smaller than the sum of its proper divisors (6253212).

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

2412900 is a wasteful number, since it uses less digits than its factorization.

2412900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2412900 is about 1553.3512159200. The cubic root of 2412900 is about 134.1260416504.

The spelling of 2412900 in words is "two million, four hundred twelve thousand, nine hundred".