2554442400 has 144 divisors (see below), whose sum is σ = 8408836800. Its totient is φ = 673474560.

The previous prime is 2554442381. The next prime is 2554442417. The reversal of 2554442400 is 42444552.

It is a super-3 number, since 3×2554442400³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207621 + ... + 219579.

It is an arithmetic number, because the mean of its divisors is an integer number (58394700).

Almost surely, 2^2554442400 is an apocalyptic number.

2554442400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2554442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4204418400).

2554442400 is an abundant number, since it is smaller than the sum of its proper divisors (5854394400).

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

2554442400 is a wasteful number, since it uses less digits than its factorization.

2554442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12071 (or 12058 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

The square root of 2554442400 is about 50541.4918655949. The cubic root of 2554442400 is about 1366.9901065397.

Adding to 2554442400 its reverse (42444552), we get a palindrome (2596886952).

The spelling of 2554442400 in words is "two billion, five hundred fifty-four million, four hundred forty-two thousand, four hundred".