2542416400 has 30 divisors (see below), whose sum is σ = 6108156362. Its totient is φ = 1016966400.

The previous prime is 2542416379. The next prime is 2542416403. The reversal of 2542416400 is 46142452.

It can be written as a sum of positive squares in 3 ways, for example, as 589129984 + 1953286416 = 24272^2 + 44196^2 .

It is not an unprimeable number, because it can be changed into a prime (2542416403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3177621 + ... + 3178420.

Almost surely, 2^2542416400 is an apocalyptic number.

2542416400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2542416400 is an abundant number, since it is smaller than the sum of its proper divisors (3565739962).

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

2542416400 is a wasteful number, since it uses less digits than its factorization.

2542416400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6356059 (or 6356048 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 2542416400 is about 50422.3799517635. The cubic root of 2542416400 is about 1364.8415242675.

Adding to 2542416400 its reverse (46142452), we get a palindrome (2588558852).

The spelling of 2542416400 in words is "two billion, five hundred forty-two million, four hundred sixteen thousand, four hundred".