2412720 has 80 divisors (see below), whose sum is σ = 8317920. Its totient is φ = 642816.

The previous prime is 2412703. The next prime is 2412721. The reversal of 2412720 is 272142.

It is a tau number, because it is divible by the number of its divisors (80).

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 a junction number, because it is equal to n+sod(n) for n = 2412693 and 2412702.

It is not an unprimeable number, because it can be changed into a prime (2412721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1602 + ... + 2718.

It is an arithmetic number, because the mean of its divisors is an integer number (103974).

2^2412720 is an apocalyptic number.

2412720 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 2412720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4158960).

2412720 is an abundant number, since it is smaller than the sum of its proper divisors (5905200).

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

2412720 is a wasteful number, since it uses less digits than its factorization.

2412720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 2412720 is about 1553.2932755922. The cubic root of 2412720 is about 134.1227063433.

Adding to 2412720 its reverse (272142), we get a palindrome (2684862).

The spelling of 2412720 in words is "two million, four hundred twelve thousand, seven hundred twenty".