2542176400 has 45 divisors (see below), whose sum is σ = 6110002443. Its totient is φ = 1016467200.

The previous prime is 2542176397. The next prime is 2542176431. The reversal of 2542176400 is 46712452.

The square root of 2542176400 is 50420.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1557723024 + 984453376 = 39468^2 + 31376^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1007140 + ... + 1009660.

Almost surely, 2^2542176400 is an apocalyptic number.

2542176400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2542176400 is the 50420-th square number.

It is an amenable number.

2542176400 is an abundant number, since it is smaller than the sum of its proper divisors (3567826043).

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

2542176400 is an frugal number, since it uses more digits than its factorization.

2542176400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5060 (or 2528 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The cubic root of 2542176400 is about 1364.7985766379.

Adding to 2542176400 its reverse (46712452), we get a palindrome (2588888852).

The spelling of 2542176400 in words is "two billion, five hundred forty-two million, one hundred seventy-six thousand, four hundred".