2591103940740 has 864 divisors, whose sum is σ = 9827899361280. Its totient is φ = 570978180864.

The previous prime is 2591103940729. The next prime is 2591103940753. The reversal of 2591103940740 is 470493011952.

2591103940740 is a `hidden beast` number, since 2 + 591 + 10 + 3 + 9 + 4 + 0 + 7 + 40 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 808959979 + ... + 808963181.

It is an arithmetic number, because the mean of its divisors is an integer number (11374883520).

Almost surely, 2^{2591103940740} is an apocalyptic number.

2591103940740 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 2591103940740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4913949680640).

2591103940740 is an abundant number, since it is smaller than the sum of its proper divisors (7236795420540).

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

2591103940740 is a wasteful number, since it uses less digits than its factorization.

2591103940740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3363 (or 3342 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 2591103940740 in words is "two trillion, five hundred ninety-one billion, one hundred three million, nine hundred forty thousand, seven hundred forty".