2114233712640 has 960 divisors, whose sum is σ = 9044321126400. Its totient is φ = 457755328512.

The previous prime is 2114233712627. The next prime is 2114233712693. The reversal of 2114233712640 is 462173324112.

2114233712640 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 2 + 3 + 3 + 7 + 1 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2114233712595 and 2114233712604.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 294171127 + ... + 294178313.

It is an arithmetic number, because the mean of its divisors is an integer number (9421167840).

Almost surely, 2^{2114233712640} is an apocalyptic number.

2114233712640 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 2114233712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4522160563200).

2114233712640 is an abundant number, since it is smaller than the sum of its proper divisors (6930087413760).

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

2114233712640 is an equidigital number, since it uses as much as digits as its factorization.

2114233712640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7255 (or 7223 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 2114233712640 in words is "two trillion, one hundred fourteen billion, two hundred thirty-three million, seven hundred twelve thousand, six hundred forty".