2413421220 has 96 divisors (see below), whose sum is σ = 7730666496. Its totient is φ = 551088000.

The previous prime is 2413421191. The next prime is 2413421251. The reversal of 2413421220 is 221243142.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 539995 + ... + 544445.

It is an arithmetic number, because the mean of its divisors is an integer number (80527776).

Almost surely, 2^2413421220 is an apocalyptic number.

2413421220 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 2413421220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3865333248).

2413421220 is an abundant number, since it is smaller than the sum of its proper divisors (5317245276).

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

2413421220 is a wasteful number, since it uses less digits than its factorization.

2413421220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5761 (or 5759 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2413421220 is about 49126.5836385963. The cubic root of 2413421220 is about 1341.3569865269.

Adding to 2413421220 its reverse (221243142), we get a palindrome (2634664362).

It can be divided in two parts, 24134 and 21220, that added together give a palindrome (45354).

The spelling of 2413421220 in words is "two billion, four hundred thirteen million, four hundred twenty-one thousand, two hundred twenty".