2254361400 has 288 divisors, whose sum is σ = 8247798000. Its totient is φ = 549642240.

The previous prime is 2254361377. The next prime is 2254361401. The reversal of 2254361400 is 41634522.

2254361400 is a `hidden beast` number, since 2 + 2 + 5 + 43 + 614 + 0 + 0 = 666.

2254361400 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (2254361401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 990664 + ... + 992936.

Almost surely, 2^2254361400 is an apocalyptic number.

2254361400 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 2254361400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4123899000).

2254361400 is an abundant number, since it is smaller than the sum of its proper divisors (5993436600).

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

2254361400 is a wasteful number, since it uses less digits than its factorization.

2254361400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2343 (or 2331 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2254361400 is about 47480.1158381064. The cubic root of 2254361400 is about 1311.2168248148.

Adding to 2254361400 its reverse (41634522), we get a palindrome (2295995922).

The spelling of 2254361400 in words is "two billion, two hundred fifty-four million, three hundred sixty-one thousand, four hundred".