2541521220 has 144 divisors (see below), whose sum is σ = 8315032320. Its totient is φ = 578328576.

The previous prime is 2541521219. The next prime is 2541521221. The reversal of 2541521220 is 221251452.

It is an interprime number because it is at equal distance from previous prime (2541521219) and next prime (2541521221).

It is a super-2 number, since 2×2541521220² = 12918660223420576800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2541521221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 700852 + ... + 704468.

It is an arithmetic number, because the mean of its divisors is an integer number (57743280).

Almost surely, 2^2541521220 is an apocalyptic number.

2541521220 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 2541521220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4157516160).

2541521220 is an abundant number, since it is smaller than the sum of its proper divisors (5773511100).

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

2541521220 is a wasteful number, since it uses less digits than its factorization.

2541521220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3882 (or 3873 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 2541521220 is about 50413.5023579993. The cubic root of 2541521220 is about 1364.6813194247.

Adding to 2541521220 its reverse (221251452), we get a palindrome (2762772672).

The spelling of 2541521220 in words is "two billion, five hundred forty-one million, five hundred twenty-one thousand, two hundred twenty".