2541342210 has 96 divisors (see below), whose sum is σ = 6891797952. Its totient is φ = 594773760.

The previous prime is 2541342157. The next prime is 2541342241. The reversal of 2541342210 is 122431452.

2541342210 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 272952 + ... + 282108.

It is an arithmetic number, because the mean of its divisors is an integer number (71789562).

Almost surely, 2^2541342210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2541342210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3445898976).

2541342210 is an abundant number, since it is smaller than the sum of its proper divisors (4350455742).

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

2541342210 is a wasteful number, since it uses less digits than its factorization.

2541342210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9236 (or 9207 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2541342210 is about 50411.7269095198. The cubic root of 2541342210 is about 1364.6492785959.

Adding to 2541342210 its reverse (122431452), we get a palindrome (2663773662).

The spelling of 2541342210 in words is "two billion, five hundred forty-one million, three hundred forty-two thousand, two hundred ten".