2138511840 has 96 divisors (see below), whose sum is σ = 6863494176. Its totient is φ = 559503360.

The previous prime is 2138511833. The next prime is 2138511841. The reversal of 2138511840 is 481158312.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138511841) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 16591 + ... + 67470.

It is an arithmetic number, because the mean of its divisors is an integer number (71494731).

Almost surely, 2^2138511840 is an apocalyptic number.

2138511840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2138511840 is an abundant number, since it is smaller than the sum of its proper divisors (4724982336).

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

2138511840 is a wasteful number, since it uses less digits than its factorization.

2138511840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84132 (or 84124 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 2138511840 is about 46244.0465357434. The cubic root of 2138511840 is about 1288.3599613743.

The spelling of 2138511840 in words is "two billion, one hundred thirty-eight million, five hundred eleven thousand, eight hundred forty".