2541210400 has 36 divisors (see below), whose sum is σ = 6203731842. Its totient is φ = 1016483840.

The previous prime is 2541210391. The next prime is 2541210409. The reversal of 2541210400 is 40121452.

It is an interprime number because it is at equal distance from previous prime (2541210391) and next prime (2541210409).

It can be written as a sum of positive squares in 3 ways, for example, as 1571012496 + 970197904 = 39636^2 + 31148^2 .

It is not an unprimeable number, because it can be changed into a prime (2541210409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1587457 + ... + 1589056.

Almost surely, 2^2541210400 is an apocalyptic number.

2541210400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2541210400 is an abundant number, since it is smaller than the sum of its proper divisors (3662521442).

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

2541210400 is a wasteful number, since it uses less digits than its factorization.

2541210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3176533 (or 3176520 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 2541210400 is about 50410.4195578652. The cubic root of 2541210400 is about 1364.6256850882.

Adding to 2541210400 its reverse (40121452), we get a palindrome (2581331852).

The spelling of 2541210400 in words is "two billion, five hundred forty-one million, two hundred ten thousand, four hundred".