2253201452400 has 120 divisors (see below), whose sum is σ = 7219653113520. Its totient is φ = 600695736320.

The previous prime is 2253201452357. The next prime is 2253201452417. The reversal of 2253201452400 is 42541023522.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4354666 + ... + 4844534.

It is an arithmetic number, because the mean of its divisors is an integer number (60163775946).

Almost surely, 2^{2253201452400} is an apocalyptic number.

2253201452400 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 2253201452400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3609826556760).

2253201452400 is an abundant number, since it is smaller than the sum of its proper divisors (4966451661120).

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

2253201452400 is a wasteful number, since it uses less digits than its factorization.

2253201452400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493723 (or 493712 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 2253201452400 its reverse (42541023522), we get a palindrome (2295742475922).

The spelling of 2253201452400 in words is "two trillion, two hundred fifty-three billion, two hundred one million, four hundred fifty-two thousand, four hundred".