2138142720 has 384 divisors, whose sum is σ = 7994488320. Its totient is φ = 477757440.

The previous prime is 2138142719. The next prime is 2138142803. The reversal of 2138142720 is 272418312.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13117359 + ... + 13117521.

It is an arithmetic number, because the mean of its divisors is an integer number (20818980).

Almost surely, 2^2138142720 is an apocalyptic number.

2138142720 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 2138142720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3997244160).

2138142720 is an abundant number, since it is smaller than the sum of its proper divisors (5856345600).

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

2138142720 is a wasteful number, since it uses less digits than its factorization.

2138142720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 2138142720 is about 46240.0553632887. The cubic root of 2138142720 is about 1288.2858308841.

The spelling of 2138142720 in words is "two billion, one hundred thirty-eight million, one hundred forty-two thousand, seven hundred twenty".