2138540064 has 48 divisors (see below), whose sum is σ = 5669274240. Its totient is φ = 705785600.

The previous prime is 2138540059. The next prime is 2138540083. The reversal of 2138540064 is 4600458312.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100584 + ... + 119975.

It is an arithmetic number, because the mean of its divisors is an integer number (118109880).

Almost surely, 2^2138540064 is an apocalyptic number.

2138540064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2138540064 is an abundant number, since it is smaller than the sum of its proper divisors (3530734176).

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

2138540064 is a wasteful number, since it uses less digits than its factorization.

2138540064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220673 (or 220665 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 2138540064 is about 46244.3516983426. The cubic root of 2138540064 is about 1288.3656292584.

Adding to 2138540064 its reverse (4600458312), we get a palindrome (6738998376).

The spelling of 2138540064 in words is "two billion, one hundred thirty-eight million, five hundred forty thousand, sixty-four".