2317100768640 has 384 divisors, whose sum is σ = 9541853568000. Its totient is φ = 506595741696.

The previous prime is 2317100768629. The next prime is 2317100768659. The reversal of 2317100768640 is 468670017132.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 321940 + ... + 2176659.

It is an arithmetic number, because the mean of its divisors is an integer number (24848577000).

Almost surely, 2^{2317100768640} is an apocalyptic number.

2317100768640 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 2317100768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4770926784000).

2317100768640 is an abundant number, since it is smaller than the sum of its proper divisors (7224752799360).

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

2317100768640 is a wasteful number, since it uses less digits than its factorization.

2317100768640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2498654 (or 2498639 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 2317100768640 in words is "two trillion, three hundred seventeen billion, one hundred million, seven hundred sixty-eight thousand, six hundred forty".