2552622200832 has 192 divisors, whose sum is σ = 7581963916800. Its totient is φ = 757063024640.

The previous prime is 2552622200831. The next prime is 2552622200851. The reversal of 2552622200832 is 2380022262552.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2552622200831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2774644 + ... + 3578252.

It is an arithmetic number, because the mean of its divisors is an integer number (39489395400).

Almost surely, 2^{2552622200832} is an apocalyptic number.

2552622200832 is a gapful number since it is divisible by the number (22) 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 2552622200832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3790981958400).

2552622200832 is an abundant number, since it is smaller than the sum of its proper divisors (5029341715968).

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

2552622200832 is a wasteful number, since it uses less digits than its factorization.

2552622200832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803692 (or 803672 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 2552622200832 in words is "two trillion, five hundred fifty-two billion, six hundred twenty-two million, two hundred thousand, eight hundred thirty-two".