2816261641440 has 576 divisors, whose sum is σ = 10915118323200. Its totient is φ = 681476696064.

The previous prime is 2816261641433. The next prime is 2816261641477. The reversal of 2816261641440 is 441461626182.

2816261641440 is a `hidden beast` number, since 2 + 8 + 1 + 626 + 1 + 6 + 4 + 14 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29773741 + ... + 29868179.

It is an arithmetic number, because the mean of its divisors is an integer number (18949858200).

Almost surely, 2^{2816261641440} is an apocalyptic number.

2816261641440 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 2816261641440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5457559161600).

2816261641440 is an abundant number, since it is smaller than the sum of its proper divisors (8098856681760).

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

2816261641440 is a wasteful number, since it uses less digits than its factorization.

2816261641440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94541 (or 94521 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 2816261641440 in words is "two trillion, eight hundred sixteen billion, two hundred sixty-one million, six hundred forty-one thousand, four hundred forty".