2117702446240 has 96 divisors (see below), whose sum is σ = 5019870046464. Its totient is φ = 844238868480.

The previous prime is 2117702446219. The next prime is 2117702446271. The reversal of 2117702446240 is 426442077112.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2117702446193 and 2117702446202.

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, 176366317 + ... + 176378323.

It is an arithmetic number, because the mean of its divisors is an integer number (52290312984).

Almost surely, 2^{2117702446240} is an apocalyptic number.

2117702446240 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 2117702446240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509935023232).

2117702446240 is an abundant number, since it is smaller than the sum of its proper divisors (2902167600224).

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

2117702446240 is a wasteful number, since it uses less digits than its factorization.

2117702446240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15630 (or 15622 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 40.

The spelling of 2117702446240 in words is "two trillion, one hundred seventeen billion, seven hundred two million, four hundred forty-six thousand, two hundred forty".