2415311220 has 96 divisors (see below), whose sum is σ = 7748810496. Its totient is φ = 550656000.

The previous prime is 2415311203. The next prime is 2415311221. The reversal of 2415311220 is 221135142.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2415311221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161250 + ... + 175590.

It is an arithmetic number, because the mean of its divisors is an integer number (80716776).

Almost surely, 2^2415311220 is an apocalyptic number.

2415311220 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 2415311220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3874405248).

2415311220 is an abundant number, since it is smaller than the sum of its proper divisors (5333499276).

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

2415311220 is a wasteful number, since it uses less digits than its factorization.

2415311220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14761 (or 14759 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2415311220 is about 49145.8158951502. The cubic root of 2415311220 is about 1341.7070432833.

Adding to 2415311220 its reverse (221135142), we get a palindrome (2636446362).

The spelling of 2415311220 in words is "two billion, four hundred fifteen million, three hundred eleven thousand, two hundred twenty".