2140616064 has 96 divisors (see below), whose sum is σ = 6040470600. Its totient is φ = 671531008.

The previous prime is 2140616053. The next prime is 2140616083. The reversal of 2140616064 is 4606160412.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101332 + ... + 120620.

Almost surely, 2^2140616064 is an apocalyptic number.

2140616064 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 2140616064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3020235300).

2140616064 is an abundant number, since it is smaller than the sum of its proper divisors (3899854536).

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

2140616064 is a wasteful number, since it uses less digits than its factorization.

2140616064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19340 (or 19311 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 2140616064 is about 46266.7922380621. The cubic root of 2140616064 is about 1288.7823905311.

Adding to 2140616064 its reverse (4606160412), we get a palindrome (6746776476).

The spelling of 2140616064 in words is "two billion, one hundred forty million, six hundred sixteen thousand, sixty-four".