2561510220 has 96 divisors (see below), whose sum is σ = 7295339520. Its totient is φ = 671424000.

The previous prime is 2561510201. The next prime is 2561510243. The reversal of 2561510220 is 220151652.

It is a happy number.

It is a super-2 number, since 2×2561510220² = 13122669214328896800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1188664 + ... + 1190816.

It is an arithmetic number, because the mean of its divisors is an integer number (75993120).

Almost surely, 2^2561510220 is an apocalyptic number.

2561510220 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 2561510220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3647669760).

2561510220 is an abundant number, since it is smaller than the sum of its proper divisors (4733829300).

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

2561510220 is a wasteful number, since it uses less digits than its factorization.

2561510220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2495 (or 2493 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 2561510220 is about 50611.3645340649. The cubic root of 2561510220 is about 1368.2497086144.

Adding to 2561510220 its reverse (220151652), we get a palindrome (2781661872).

The spelling of 2561510220 in words is "two billion, five hundred sixty-one million, five hundred ten thousand, two hundred twenty".