2412000 has 144 divisors (see below), whose sum is σ = 8687952. Its totient is φ = 633600.

The previous prime is 2411971. The next prime is 2412013. The reversal of 2412000 is 2142.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35967 + ... + 36033.

It is an arithmetic number, because the mean of its divisors is an integer number (60333).

2^2412000 is an apocalyptic number.

2412000 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 2412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4343976).

2412000 is an abundant number, since it is smaller than the sum of its proper divisors (6275952).

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

2412000 is a wasteful number, since it uses less digits than its factorization.

2412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2412000 is about 1553.0614926654. The cubic root of 2412000 is about 134.1093634556.

Adding to 2412000 its reverse (2142), we get a palindrome (2414142).

The spelling of 2412000 in words is "two million, four hundred twelve thousand".