2551234534200 has 576 divisors, whose sum is σ = 10156157107200. Its totient is φ = 567025920000.

The previous prime is 2551234534187. The next prime is 2551234534213. The reversal of 2551234534200 is 24354321552.

2551234534200 is a `hidden beast` number, since 2 + 551 + 2 + 34 + 53 + 4 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2551234534187) and next prime (2551234534213).

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 143 ways as a sum of consecutive naturals, for example, 11552820 + ... + 11771580.

It is an arithmetic number, because the mean of its divisors is an integer number (17632217200).

Almost surely, 2^{2551234534200} is an apocalyptic number.

2551234534200 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 2551234534200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5078078553600).

2551234534200 is an abundant number, since it is smaller than the sum of its proper divisors (7604922573000).

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

2551234534200 is a wasteful number, since it uses less digits than its factorization.

2551234534200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218844 (or 218832 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 2551234534200 its reverse (24354321552), we get a palindrome (2575588855752).

The spelling of 2551234534200 in words is "two trillion, five hundred fifty-one billion, two hundred thirty-four million, five hundred thirty-four thousand, two hundred".