2541403410 has 192 divisors, whose sum is σ = 7633647360. Its totient is φ = 530150400.

The previous prime is 2541403399. The next prime is 2541403421. The reversal of 2541403410 is 143041452.

It is an interprime number because it is at equal distance from previous prime (2541403399) and next prime (2541403421).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3584136 + ... + 3584844.

It is an arithmetic number, because the mean of its divisors is an integer number (39758580).

Almost surely, 2^2541403410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2541403410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3816823680).

2541403410 is an abundant number, since it is smaller than the sum of its proper divisors (5092243950).

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

2541403410 is a wasteful number, since it uses less digits than its factorization.

2541403410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 840 counting only the distinct ones).

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

The square root of 2541403410 is about 50412.3339074874. Note that the first 3 decimals coincide. The cubic root of 2541403410 is about 1364.6602328947.

Adding to 2541403410 its reverse (143041452), we get a palindrome (2684444862).

The spelling of 2541403410 in words is "two billion, five hundred forty-one million, four hundred three thousand, four hundred ten".