2167238384640 has 1232 divisors, whose sum is σ = 9001748986560. Its totient is φ = 490179133440.

The previous prime is 2167238384627. The next prime is 2167238384657. The reversal of 2167238384640 is 464838327612.

2167238384640 is a `hidden beast` number, since 21 + 6 + 7 + 238 + 384 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 111 ways as a sum of consecutive naturals, for example, 2847881860 + ... + 2847882620.

Almost surely, 2^{2167238384640} is an apocalyptic number.

2167238384640 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 2167238384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4500874493280).

2167238384640 is an abundant number, since it is smaller than the sum of its proper divisors (6834510601920).

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

2167238384640 is an equidigital number, since it uses as much as digits as its factorization.

2167238384640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 2167238384640 in words is "two trillion, one hundred sixty-seven billion, two hundred thirty-eight million, three hundred eighty-four thousand, six hundred forty".