2506233544800 has 288 divisors, whose sum is σ = 8241976479744. Its totient is φ = 661457664000.

The previous prime is 2506233544799. The next prime is 2506233544807. The reversal of 2506233544800 is 84453326052.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506233544807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128311035 + ... + 128330565.

It is an arithmetic number, because the mean of its divisors is an integer number (28617973888).

Almost surely, 2^{2506233544800} is an apocalyptic number.

2506233544800 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 2506233544800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4120988239872).

2506233544800 is an abundant number, since it is smaller than the sum of its proper divisors (5735742934944).

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

2506233544800 is a wasteful number, since it uses less digits than its factorization.

2506233544800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20102 (or 20089 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 2506233544800 in words is "two trillion, five hundred six billion, two hundred thirty-three million, five hundred forty-four thousand, eight hundred".