2117658224640 has 192 divisors, whose sum is σ = 7742688670080. Its totient is φ = 484036116480.

The previous prime is 2117658224611. The next prime is 2117658224681. The reversal of 2117658224640 is 464228567112.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2117658224640.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4708831 + ... + 5138910.

It is an arithmetic number, because the mean of its divisors is an integer number (40326503490).

Almost surely, 2^{2117658224640} is an apocalyptic number.

2117658224640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2117658224640 is an abundant number, since it is smaller than the sum of its proper divisors (5625030445440).

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

2117658224640 is an equidigital number, since it uses as much as digits as its factorization.

2117658224640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9847778 (or 9847758 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 2117658224640 in words is "two trillion, one hundred seventeen billion, six hundred fifty-eight million, two hundred twenty-four thousand, six hundred forty".