2591411408640 has 1008 divisors, whose sum is σ = 9648864620640. Its totient is φ = 666113310720.

The previous prime is 2591411408633. The next prime is 2591411408647. The reversal of 2591411408640 is 468041141952.

2591411408640 is a `hidden beast` number, since 2 + 591 + 4 + 1 + 14 + 0 + 8 + 6 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (2591411408633) and next prime (2591411408647).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2591411408647) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3016776531 + ... + 3016777389.

It is an arithmetic number, because the mean of its divisors is an integer number (9572286330).

Almost surely, 2^{2591411408640} is an apocalyptic number.

2591411408640 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 2591411408640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4824432310320).

2591411408640 is an abundant number, since it is smaller than the sum of its proper divisors (7057453212000).

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

2591411408640 is an frugal number, since it uses more digits than its factorization.

2591411408640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 2591411408640 in words is "two trillion, five hundred ninety-one billion, four hundred eleven million, four hundred eight thousand, six hundred forty".