2541621248 has 52 divisors (see below), whose sum is σ = 5258130540. Its totient is φ = 1226932224.

The previous prime is 2541621221. The next prime is 2541621281. The reversal of 2541621248 is 8421261452.

It can be written as a sum of positive squares in 2 ways, for example, as 2076442624 + 465178624 = 45568^2 + 21568^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 108086 + ... + 129482.

It is an arithmetic number, because the mean of its divisors is an integer number (101117895).

Almost surely, 2^2541621248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2541621248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2629065270).

2541621248 is an abundant number, since it is smaller than the sum of its proper divisors (2716509292).

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

2541621248 is an equidigital number, since it uses as much as digits as its factorization.

2541621248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21450 (or 21428 counting only the distinct ones).

The product of its digits is 30720, while the sum is 35.

The square root of 2541621248 is about 50414.4944237270. The cubic root of 2541621248 is about 1364.6992226856.

It can be divided in two parts, 25416 and 21248, that added together give a palindrome (46664).

The spelling of 2541621248 in words is "two billion, five hundred forty-one million, six hundred twenty-one thousand, two hundred forty-eight".