2141662320 has 240 divisors, whose sum is σ = 8333936832. Its totient is φ = 482734080.

The previous prime is 2141662241. The next prime is 2141662337. The reversal of 2141662320 is 232661412.

2141662320 is a `hidden beast` number, since 2 + 1 + 4 + 16 + 623 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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, 365010 + ... + 370830.

Almost surely, 2^2141662320 is an apocalyptic number.

2141662320 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 2141662320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4166968416).

2141662320 is an abundant number, since it is smaller than the sum of its proper divisors (6192274512).

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

2141662320 is a wasteful number, since it uses less digits than its factorization.

2141662320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5920 (or 5911 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2141662320 is about 46278.0976272794. The cubic root of 2141662320 is about 1288.9923264632.

The spelling of 2141662320 in words is "two billion, one hundred forty-one million, six hundred sixty-two thousand, three hundred twenty".