2531335225440 has 1536 divisors, whose sum is σ = 10325532672000. Its totient is φ = 518599065600.

The previous prime is 2531335225409. The next prime is 2531335225457. The reversal of 2531335225440 is 445225331352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10864099564 + ... + 10864099796.

It is an arithmetic number, because the mean of its divisors is an integer number (6722352000).

Almost surely, 2^{2531335225440} is an apocalyptic number.

2531335225440 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 2531335225440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5162766336000).

2531335225440 is an abundant number, since it is smaller than the sum of its proper divisors (7794197446560).

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

2531335225440 is a wasteful number, since it uses less digits than its factorization.

2531335225440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 39.

The spelling of 2531335225440 in words is "two trillion, five hundred thirty-one billion, three hundred thirty-five million, two hundred twenty-five thousand, four hundred forty".