2257100400 has 240 divisors, whose sum is σ = 7691936256. Its totient is φ = 564495360.

The previous prime is 2257100369. The next prime is 2257100407. The reversal of 2257100400 is 40017522.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2257100407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1462029 + ... + 1463571.

Almost surely, 2^2257100400 is an apocalyptic number.

2257100400 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 2257100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3845968128).

2257100400 is an abundant number, since it is smaller than the sum of its proper divisors (5434835856).

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

2257100400 is a wasteful number, since it uses less digits than its factorization.

2257100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 2257100400 is about 47508.9507356245. The cubic root of 2257100400 is about 1311.7476431897.

Adding to 2257100400 its reverse (40017522), we get a palindrome (2297117922).

The spelling of 2257100400 in words is "two billion, two hundred fifty-seven million, one hundred thousand, four hundred".