2141720064 has 480 divisors, whose sum is σ = 7353815040. Its totient is φ = 593510400.

The previous prime is 2141720051. The next prime is 2141720069. The reversal of 2141720064 is 4600271412.

2141720064 = 504³ + 505³ + ... + 519³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141720069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45568489 + ... + 45568535.

It is an arithmetic number, because the mean of its divisors is an integer number (15320448).

Almost surely, 2^2141720064 is an apocalyptic number.

2141720064 is a gapful number since it is divisible by the number (24) 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 2141720064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3676907520).

2141720064 is an abundant number, since it is smaller than the sum of its proper divisors (5212094976).

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

2141720064 is a wasteful number, since it uses less digits than its factorization.

2141720064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2141720064 is about 46278.7215035161. The cubic root of 2141720064 is about 1289.0039110632.

Adding to 2141720064 its reverse (4600271412), we get a palindrome (6741991476).

The spelling of 2141720064 in words is "two billion, one hundred forty-one million, seven hundred twenty thousand, sixty-four".