2252233301400 has 288 divisors, whose sum is σ = 7972487905200. Its totient is φ = 590748940800.

The previous prime is 2252233301387. The next prime is 2252233301407. The reversal of 2252233301400 is 41033322522.

2252233301400 is a `hidden beast` number, since 2 + 2 + 5 + 223 + 3 + 30 + 1 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252233301407) 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, 2584746 + ... + 3344454.

Almost surely, 2^{2252233301400} is an apocalyptic number.

2252233301400 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 2252233301400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3986243952600).

2252233301400 is an abundant number, since it is smaller than the sum of its proper divisors (5720254603800).

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

2252233301400 is a wasteful number, since it uses less digits than its factorization.

2252233301400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759801 (or 759780 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 2252233301400 its reverse (41033322522), we get a palindrome (2293266623922).

The spelling of 2252233301400 in words is "two trillion, two hundred fifty-two billion, two hundred thirty-three million, three hundred one thousand, four hundred".