2641312314400 has 144 divisors (see below), whose sum is σ = 6805214438400. Its totient is φ = 998302786560.

The previous prime is 2641312314367. The next prime is 2641312314409. The reversal of 2641312314400 is 44132131462.

It is not an unprimeable number, because it can be changed into a prime (2641312314409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5594746 + ... + 6048454.

It is an arithmetic number, because the mean of its divisors is an integer number (47258433600).

Almost surely, 2^{2641312314400} is an apocalyptic number.

2641312314400 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 2641312314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3402607219200).

2641312314400 is an abundant number, since it is smaller than the sum of its proper divisors (4163902124000).

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

2641312314400 is a wasteful number, since it uses less digits than its factorization.

2641312314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454131 (or 454118 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 2641312314400 its reverse (44132131462), we get a palindrome (2685444445862).

The spelling of 2641312314400 in words is "two trillion, six hundred forty-one billion, three hundred twelve million, three hundred fourteen thousand, four hundred".