2531403167200 has 72 divisors (see below), whose sum is σ = 6183827412840. Its totient is φ = 1011899404800.

The previous prime is 2531403167191. The next prime is 2531403167219. The reversal of 2531403167200 is 27613041352.

2531403167200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 191406 + ... + 2258194.

It is an arithmetic number, because the mean of its divisors is an integer number (85886491845).

Almost surely, 2^{2531403167200} is an apocalyptic number.

2531403167200 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 2531403167200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3091913706420).

2531403167200 is an abundant number, since it is smaller than the sum of its proper divisors (3652424245640).

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

2531403167200 is a wasteful number, since it uses less digits than its factorization.

2531403167200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068340 (or 2068327 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The spelling of 2531403167200 in words is "two trillion, five hundred thirty-one billion, four hundred three million, one hundred sixty-seven thousand, two hundred".