2531222400 has 288 divisors, whose sum is σ = 9700193880. Its totient is φ = 578457600.

The previous prime is 2531222377. The next prime is 2531222411. The reversal of 2531222400 is 42221352.

2531222400 is digitally balanced in base 2 and base 4, because in such bases 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 (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 467710 + ... + 473090.

Almost surely, 2^2531222400 is an apocalyptic number.

2531222400 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 2531222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4850096940).

2531222400 is an abundant number, since it is smaller than the sum of its proper divisors (7168971480).

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

2531222400 is a wasteful number, since it uses less digits than its factorization.

2531222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5422 (or 5398 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2531222400 is about 50311.2552019923. The cubic root of 2531222400 is about 1362.8354912700.

Adding to 2531222400 its reverse (42221352), we get a palindrome (2573443752).

The spelling of 2531222400 in words is "two billion, five hundred thirty-one million, two hundred twenty-two thousand, four hundred".