2247260400 has 720 divisors, whose sum is σ = 9949625088. Its totient is φ = 459993600.

The previous prime is 2247260387. The next prime is 2247260417. The reversal of 2247260400 is 40627422.

It is a happy number.

2247260400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33541167 + ... + 33541233.

Almost surely, 2^2247260400 is an apocalyptic number.

2247260400 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 2247260400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4974812544).

2247260400 is an abundant number, since it is smaller than the sum of its proper divisors (7702364688).

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

2247260400 is a wasteful number, since it uses less digits than its factorization.

2247260400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 2247260400 is about 47405.2781871386. The cubic root of 2247260400 is about 1309.8386453170.

Adding to 2247260400 its reverse (40627422), we get a palindrome (2287887822).

The spelling of 2247260400 in words is "two billion, two hundred forty-seven million, two hundred sixty thousand, four hundred".