2420100 has 54 divisors (see below), whose sum is σ = 7588490. Its totient is φ = 645120.

The previous prime is 2420071. The next prime is 2420111. The reversal of 2420100 is 10242.

2420100 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 3 ways, for example, as 5184 + 2414916 = 72^2 + 1554^2 .

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

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 445 + ... + 2244.

2^2420100 is an apocalyptic number.

2420100 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 2420100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3794245).

2420100 is an abundant number, since it is smaller than the sum of its proper divisors (5168390).

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

2420100 is a wasteful number, since it uses less digits than its factorization.

2420100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2709 (or 2699 counting only the distinct ones).

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

The square root of 2420100 is about 1555.6670594957. The cubic root of 2420100 is about 134.2593181427.

Adding to 2420100 its reverse (10242), we get a palindrome (2430342).

The spelling of 2420100 in words is "two million, four hundred twenty thousand, one hundred".