2542221200 has 120 divisors (see below), whose sum is σ = 6414559680. Its totient is φ = 966873600.

The previous prime is 2542221173. The next prime is 2542221217. The reversal of 2542221200 is 21222452.

2542221200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 775565 + ... + 778835.

It is an arithmetic number, because the mean of its divisors is an integer number (53454664).

Almost surely, 2^2542221200 is an apocalyptic number.

2542221200 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 2542221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3207279840).

2542221200 is an abundant number, since it is smaller than the sum of its proper divisors (3872338480).

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

2542221200 is a wasteful number, since it uses less digits than its factorization.

2542221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3385 (or 3374 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 2542221200 is about 50420.4442661903. Note that the first 3 decimals coincide. The cubic root of 2542221200 is about 1364.8065937339.

Adding to 2542221200 its reverse (21222452), we get a palindrome (2563443652).

The spelling of 2542221200 in words is "two billion, five hundred forty-two million, two hundred twenty-one thousand, two hundred".