2541416400 has 90 divisors (see below), whose sum is σ = 8819433350. Its totient is φ = 677710080.

The previous prime is 2541416399. The next prime is 2541416407. The reversal of 2541416400 is 46141452.

2541416400 is a `hidden beast` number, since 2 + 5 + 4 + 14 + 1 + 640 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 46656 + 2541369744 = 216^2 + 50412^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2541416407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 349375 + ... + 356574.

Almost surely, 2^2541416400 is an apocalyptic number.

2541416400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2541416400 is an abundant number, since it is smaller than the sum of its proper divisors (6278016950).

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

2541416400 is a wasteful number, since it uses less digits than its factorization.

2541416400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705973 (or 705959 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2541416400 is about 50412.4627448412. The cubic root of 2541416400 is about 1364.6625579757.

Adding to 2541416400 its reverse (46141452), we get a palindrome (2587557852).

It can be divided in two parts, 25414 and 16400, that added together give a palindrome (41814).

The spelling of 2541416400 in words is "two billion, five hundred forty-one million, four hundred sixteen thousand, four hundred".