2552144245200 has 540 divisors, whose sum is σ = 9753702466144. Its totient is φ = 617512896000.

The previous prime is 2552144245177. The next prime is 2552144245219. The reversal of 2552144245200 is 25424412552.

2552144245200 is a `hidden beast` number, since 2 + 5 + 5 + 2 + 1 + 442 + 4 + 5 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 238267845 + ... + 238278555.

Almost surely, 2^{2552144245200} is an apocalyptic number.

2552144245200 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 2552144245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4876851233072).

2552144245200 is an abundant number, since it is smaller than the sum of its proper divisors (7201558220944).

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

2552144245200 is a wasteful number, since it uses less digits than its factorization.

2552144245200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11304 (or 11279 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

Adding to 2552144245200 its reverse (25424412552), we get a palindrome (2577568657752).

The spelling of 2552144245200 in words is "two trillion, five hundred fifty-two billion, one hundred forty-four million, two hundred forty-five thousand, two hundred".